ORIGINAL_ARTICLE
Some properties and results for certain subclasses of starlike and convex functions
In the present paper, we introduce and investigate some properties of two subclasses $ \Lambda_{n}( \lambda , \beta ) $ and $ \Lambda_{n}^{+}( \lambda , \beta ) $; meromorphic and starlike functions of order $ \beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
http://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
1
15
10.22130/scma.2017.24245
Analytic functions
Starlike functions
Convex functions
Coefficient estimates
Mohammad
Taati
m_taati@pnu.ac.ir
true
1
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
AUTHOR
Sirous
Moradi
sirousmoradi@gmail.com
true
2
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
LEAD_AUTHOR
Shahram
Najafzadeh
najafzadeh1234@yahoo.ie
true
3
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
AUTHOR
[1] S.K. Chatterjea, On starlike functions, J. Pure Math., 1 (1981) 23-26.
1
[2] C.Y. Gao, S.M. Yuan, and H.M. Srivastava, Some functional inequalities and inclusion relationships associated with certain families of integral operators, Comput. Math. Appl., 49 (2005) 1787-1795.
2
[3] A.W. Goodman, Univalent Functions, Vol. 1, Polygonal Publishing House, Washington, NJ, 1983.
3
[4] I. Graham and G. Kohr, Geometric Function Theory in One and Higher Dimensions, Marcel Dekker, New York, 2003.
4
[5] Z. Lewandowski, S.S. Miller, and E. Zlotkiewicz, Generating functions for some classes of univalent functions, Proc. Amer. Math. Soc., 65 (1976) 111-117.
5
[6] J.L. Li and S. Owa, Sufficient conditions for starlikeness, Indian J. Pure Appl. Math., 33 (2002) 313-318.
6
[7] M.S. Liua, Y.C. Zhub, and H.M. Srivastava, Properties and characteristics of certain subclasses of starlike functions of order β, Mathematical and Computer Modelling., 48(2008) 402-419.
7
[8] M. Obradovi´c and S.B. Joshi, On certain classes of strongly starlike functions, Taiwanese J. Math., 2 (1998) 297-302.
8
[9] S. Owa, M. Nunokawa, H. Saitoh, and H.M. Srivastava, Close-to-convexity, starlikeness and convexity of certain analytic functions, Appl. Math. Lett., 15 (2002) 63-69.
9
[10] C. Ramesha, S. Kumar, and K.S. Padmanabhan, A sufficient condition for starlikeness, Chinese J. Math., 23 (1995) 167-171.
10
[11] V. Ravichandran, C. Selvaraj, and R. Rajalaksmi, Sufficient conditions for starlike functions of order α, J. Inequal. Pure Appl. Math., 3 (5) (2002) 1-6., Article 81 (electronic).
11
[12] S. Ruscheweyh and T. Sheil-Small, Hadamard products of schlicht functions and the P´olya-Schoenberg conjecture, Comment. Math. Helv., 48 (1973) 119-130.
12
[13] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975) 109-116.
13
[14] H.M. Srivastava, S. Owa, and S.K. Chatterjea, A note on certain classes of starlike functions, Rend. Sem. Mat. Univ. Padova., 77 (1987) 115-124.
14
[15] H.M. Srivastava and M. Saigo, Multiplication of fractional calculus operators and boundary value problems involving the Euler–Darboux equation, J. Math. Anal. Appl., 121 (1987) 325-369.
15
[16] H.M. Srivastava, M. Saigo, and S. Owa, A class of distortion theorems involving certain operators of fractional calculus, J. Math. Anal. Appl., 131 (1988) 412-420.
16
ORIGINAL_ARTICLE
On some results of entire functions of two complex variables using their relative lower order
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
http://scma.maragheh.ac.ir/article_24171_0a9ec9133fe3b9cb12b1af69da4a8b64.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
17
26
10.22130/scma.2017.24171
Entire functions of two complex variables
Relative lower order of two complex variables
Property(A)
Sanjib Kumar
Datta
sanjib_kr_datta@yahoo.co.in
true
1
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
LEAD_AUTHOR
Tanmay
Biswas
tanmaybiswas_math@rediffmail.com
true
2
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
AUTHOR
Golok Kumar
Mondal
golok.mondal13@rediffmail.com
true
3
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
AUTHOR
[1] A.K. Agarwal, On the properties of entire function of two complex variables, Canadian Journal of Mathematics, 20 (1968), 51-57.
1
[2] D. Banerjee and R.K. Datta, Relative order of entire functions of two complex variables, International J. of Math. Sci. Engg. Appls. (IJMSEA), 1(1) (2007), 141-154.
2
[3] A.B. Fuks, Theory of analytic functions of several complex variables, Moscow, (1963).
3
ORIGINAL_ARTICLE
On the reducible $M$-ideals in Banach spaces
The object of the investigation is to study reducible $M$-ideals in Banach spaces. It is shown that if the number of $M$-ideals in a Banach space $X$ is $n(<\infty)$, then the number of reducible $M$-ideals does not exceed of $\frac{(n-2)(n-3)}{2}$. Moreover, given a compact metric space $X$, we obtain a general form of a reducible $M$-ideal in the space $C(X)$ of continuous functions on $X$. The intersection of two $M$-ideals is not necessarily reducible. We construct a subset of the set of all $M$-ideals in a Banach space $X$ such that the intersection of any pair of it's elements is reducible. Also, some Banach spaces $X$ and $Y$ for which $K(X,Y)$ is not a reducible $M$-ideal in $L(X,Y)$, are presented. Finally, a weak version of reducible $M$-ideal called semi reducible $M$-ideal is introduced.
http://scma.maragheh.ac.ir/article_23873_5d80e8659619ca4eed8588332a074319.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
27
37
10.22130/scma.2017.23873
$M$-ideal
Reducible $M$-ideal
Maximal $M$-ideal
$M$-embedded space
Semi reducible $M$-ideal
Sajad
Khorshidvandpour
skhorshidvandpour@gmail.com
true
1
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
LEAD_AUTHOR
Abdolmohammad
Aminpour
aminpour@scu.ac.ir
true
2
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
AUTHOR
[1] E.M. Alfsen and E.G. Effros, Structure in real Banach space, Part I and II, Ann. of Math., 96 (1972) 98-173.
1
[2] P. Bandyopadhyay and S. Dutta, Almost Constrained Subspaces of Banach Spaces-II, Houston Journal of Mathematics., 35(3) (2009) 945--957.
2
[3] S. Basu and T.S.S.R.K. Rao, Some Stability Results for Asymptotic Norming Properties of Banach Spaces, Colloquium Mathematicum., 75(2) (1998) 271-284.
3
[4] E. Behrands, M-structure and the Banach-Stone Theorem, Lecture Notes in Math, 736, Springer, Berlin Heidelberg-New York, 1979.
4
[5] P. Harmand and A. Lima, Banach spaces which are $M$-ideals in their biduals, Trans. Amer. Math. Soc., 283 (1984) 253-264.
5
[6] P. Harmand, D. Werner, and W. Werner, $M$-ideals in Banach spaces and Banach algebras, Lecture notes in Mathematics, vol. 1547, Springer, Berlin, 1993.
6
[7] J. Johnson, Remarks on Banach Spaces of Compact Operators, Journal of Functional Analysis., 32 (1979) 304-311.
7
[8] H.E. Lacey, The Isometric Theory of Classical Banach Spaces, Springer-Verlag, Berlin, 1974.
8
[9] A. Lima and D. Yost, Absolutely Chebyshev subspaces, In: S. Fitzpatrick and J. Giles, editors, Workshop/Miniconference Funct. Analysis/Optimization. Canberra, Proc. Cent. Math. Anal. Austral. Nat. Univ., 20 (1988) 116-127.
9
[10] R.R. Phelps, Uniqueness of Hahn-Banach extensions and unique best approximation, Trans. Amer. Math. Soc., 95 (1960) 238-255.
10
[11] N.M. Roy, An $M$-ideal characterization of $G$-spaces, Pacific journal of mathematics., 92 (1981) 151-160.
11
[12] R.R. Smith and J.D. Ward, $M$-ideal structure in Banach algebras, J. Functional Analysis., 27 (1978) 337-349.
12
[13] R.R. Smith and J.D. Ward, $M$-ideals in $B(l_p)$, Pacific Journal of Mathematics., 81(1) (1979) 227-237.
13
[14] U. Uttersrud, On $M$-ideals and the Alfsen-Effros structure topology, Math. Scand., 43 (1978) 369-381.
14
[15] S. Willard, General Topology, Addison-Wesley, Reading, MA, 1970.
15
ORIGINAL_ARTICLE
Some notes for topological centers on the duals of Banach algebras
We introduce the weak topological centers of left and right module actions and we study some of their properties. We investigate the relationship between these new concepts and the topological centers of of left and right module actions with some results in the group algebras.
http://scma.maragheh.ac.ir/article_23648_1ec312b49c036b8f109bb89d68ad5f9c.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
39
48
10.22130/scma.2017.23648
Topological center
Weak topological center
Arens regularity
Module action
$n$-th dual
Kazem
Haghnejad Azar
haghnejad@uma.ac.ir
true
1
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
LEAD_AUTHOR
Masoumeh
Mousavi Amiri
masoume.mousavi@gmail.com
true
2
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
AUTHOR
[1] R.E. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951) 839-848.
1
[2] H.G. Dales, A. Rodrigues-Palacios, and M.V. Velasco, The second transpose of a derivation, J. London. Math. Soc. 64 (2001) 707-721.
2
[3] M. Eshaghi Gordji and M. Filali, Arens regularity of module actions, Studia Math. 181 (2007) 237-254.
3
[4] K. Haghnejad Azar, Arens regularity of bilinear forms and unital Banach module space, Bull. Iranian Math. Soc, 40 (2014) 505-520.
4
[5] K. Haghnejad Azar, A. Bodaghi, and A. Jabbari, Some notes on the topological centers of module actions, Iranian Journal of Science and Technology. IJST (2015) 417-431.
5
[6] A.T. Lau and V. Losert, On the second Conjugate Algebra of locally compact groups, J. London Math. Soc. 37 (1988) 464-480.
6
[7] A.T. Lau and A. Ülger, Topological center of certain dual algebras, Trans. Amer. Math. Soc. 348 (1996) 1191-1212.
7
[8] S. Mohamadzadih and H.R.E. Vishki, Arens regularity of module actions and the second adjoint of a derivation, Bull. Aust Math Soc. 77 (2008) 465-476.
8
[9] J.S. Pym, The convolution of functionals on spaces of bounded functions, Proc. London Math Soc. 15 (1965) 84-104.
9
[10] Y. Zhang, Weak amenability of module extentions of Banach algebras, Trans. Amer. Math. Soc. 354 (2002) 4131-4151.
10
ORIGINAL_ARTICLE
Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces
In this paper, we give a fixed point theorem for $(\psi,\varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.
http://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
49
62
10.22130/scma.2017.26524
Fixed point
b-Metric space
$(psi
varphi)$-Weakly contractive mapping
Altering distance function
Hamid
Faraji
hamid_ftmath@yahoo.com
true
1
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
AUTHOR
Kourosh
Nourouzi
nourouzi@kntu.ac.ir
true
2
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
LEAD_AUTHOR
[1] Ya.I. Alber and S. Guerre-Delabrere, Principle of weakly contractive maps in Hilbert spaces, New results in operator theory and its applications, Oper. Theory Adv. Appl., 98, Birkhauser, Basel, (1997) 7-22.
1
[2] I.A. Bakhtin, The contraction mapping principle in almost metric space, Functional analysis, (Russian), Ulyanovsk. Gos. Ped. Inst., Ulyanovsk, (1989) 26-37.
2
[3] M. Bota, A. Molnar, and C. Varga, On Ekeland's variational principle in b-metric spaces, Fixed Point Theory, 12 (2) (2011), 21-28.
3
[4] S. Chandok, A common fixed point result for (μ,Ψ)-weakly contractive mappings, Gulf J. Math. 1 (2013), 65-71.
4
[5] S.K. Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci. 25 (1972), 727-730.
5
[6] G. Cortelazzo, G. Mian, G. Vezzi, and P. Zamperoni, Trademark shapes description by string matching techniques, Pattern Recognit. 27 (8) (1994), 1005-1018.
6
[7] S. Czerwik, Contraction mappings in $b$-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5-11.
7
[8] S. Czerwik, K. Dlutek, and S.L. Singh, Round-off stability of iteration procedures for operators in b-metric spaces, J. Natur. Phys. Sci. 11 (1997), 87-94.
8
[9] P.N. Dutta and B.S. Choudhury, A generalisation of contraction principle in metric spaces, Fixed Point Theory Appl., Vol. 2008, (2008), 1-8. Article ID 406368.
9
[10] R. Fagin and L. Stockmeyer, Relaxing the triangle inequality in pattern matching, Int. J. Comput. Vis. 30 (3) (1998), 219-231.
10
[11] H. Faraji, K. Nourouzi, and D. O'Regan, A fixed point theorem in uniform spaces generated by a family of b-pseudometrics, Fixed Point Theory, (to appear).
11
[12] N. Hussain and M.H. Shah, KKM mappings in cone $b$-metric spaces, Comput. Math. Appl. 62 (4) (2011), 1677-1684.
12
[13] M.A. Khamsi and N. Hussain, KKM mappings in metric type spaces, Nonlinear Anal. 73 (9) (2010), 3123-3129.
13
[14] M.S. Khan, M. Swaleh, and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Austral. Math. Soc. 30 (1) (1984), 1-9.
14
[15] W. Kirk and N. Shahzad, Fixed point theory in distance spaces, Springer, 2014.
15
[16] R. McConnell, R. Kwok, J. Curlander, W. Kober, and S. Pang, Ψ-S correlation and dynamic time warping: two methods for tracking ice floes, IEEE Trans. Geosci. Remote Sens. {29}(6), (1991), 1004-1012.
16
[17] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Fixed point theorems for weakly $T$-Chatterjea and weakly T-Kannan contractions in b-metric spaces, J. Inequal. Appl. 2014 (46) (2014), 14 pp.
17
[18] A. Petrusel, G. Petrusel, B. Samet, and J.-C Yao, Coupled fixed point theorems for symmetric multi-valued contractions in b-metric space with applications to systems of integral inclusions, J. Nonlinear Convex Anal., 17 (7) (2016), 1265-1282.
18
[19] A. Petrusel, G. Petrusel, B. Samet, and J.-C. Yao, Coupled fixed point theorems for symmetric contractions in b-metric spaces with applications to operator equation systems, Fixed Point Theory, 17 (2) (2016), 459-478.
19
[20] B.E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Anal. 47 (4) (2001), 2683-2693.
20
[21] W. Sintunavarat, Nonlinear integral equations with new admissibility types in b-metric spaces, J. Fixed Point Theory Appl., 18 (2) (2016), 397-416.
21
[22] Q. Xia, The geodesic problem in quasimetric spaces, J. Geom. Anal. 19 (2) (2009), 452-479.
22
ORIGINAL_ARTICLE
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
In this paper, we introduce and investigate two new subclasses of the functions class $ \Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.
http://scma.maragheh.ac.ir/article_25952_649aa54b8f8400e14883fcb750497e60.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
63
73
10.22130/scma.2017.25952
Analytic functions
Bi-univalent functions
Univalent functions
Convolution operator
Hamid
Shojaei
hshojaei2000@yahoo.com
true
1
Department of Mathematics, Payame Noor University, Tehran, Iran.
Department of Mathematics, Payame Noor University, Tehran, Iran.
Department of Mathematics, Payame Noor University, Tehran, Iran.
LEAD_AUTHOR
[1] R. Aghalary, A. Ebadian, and Z.G. Wang, Subordination and superordination result involving certain convolution operators, Bull. Iranian Math. Soc. Vol. 36 No. 1 (2010), pp 137-147.
1
[2] D.A. Brannan and J.L. Clunie (Editors), Aspects of Contemporary Complex Analysis, Academic Press, London 1980.
2
[3] D.A. Brannan, J.L. Clunie, and W.E. Kirwan, Coefficient estimates for the class of star-like functions, Canad. J. Math. 22 (1970) 476-485.
3
[4] D.A. Brannan and T.S. Taha, On some classes of bi-univalent functions, Studia Univ. „Babes-Bolyai", Math. 31 (2) (1986), 70-77.
4
[5] P.L. Duren, Univalent functions, Springer-Verlag, New York, 1983.
5
[6] B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent function, Appl. Math. Lett. 24 (2011), 1569-1573.
6
[7] T. Hayami and S. Owa, Coefficient coefficient bounds for bi-univalent functions, Panamer. Math. J. 22 (4) (2012), 15-26.
7
[8] M. Lewin, On a coefficient problem for bi-univalent function, Proc. Amer. Math. Soc. 18 (1967), 63-68.
8
[9] X.F. Li and A.P. Wang, Two new subclasses of bi-univalent functions, Internat. Math. Forum, 7 (2012), 1495-1504.
9
[10] E. Netanyahu, The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in z<1, Arch. Rational Mech. Anal. 32 (1969) 100-112.
10
[11] H.M. Srivastava, G. Murugusundaramoorthy, and N. Magesh, Certain subclasses of bi-univalent functions associated with the Hoholv operator, Global J. Math. Analysis, 1 (2) (2013) 67-73.
11
[12] H.M. Srivastava, A.K. Mishra, and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), 1188-1192.
12
[13] T.S. Taha, Topic in Univalent Function Theory, Ph.D. Thesis, University of London 1981.
13
[14] Q.H. Xu, Y.C. Gui, and H.M. Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions and associated coefficient estimate problems, Appl. Math. Lett. 25 (2012),990-994.
14
[15] Q.H. Xu, H.G. Xiao, and H.M. Srivastava, A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems, Appl. Math. Comput. 218 (2012), 11461-11465.
15
ORIGINAL_ARTICLE
$G$-asymptotic contractions in metric spaces with a graph and fixed point results
In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph.
http://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
75
83
10.22130/scma.2017.23946
$G$-asymptotic contraction
Orbitally $G$-continuous self-map
Fixed point
Kamal
Fallahi
fallahi1361@gmail.com
true
1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
LEAD_AUTHOR
[1] A. Aghanians, K. Fallahi, and K. Nourouzi, Fixed points for $E$-asymptotic contractions and Boyd-Wong type $E$-contractions in uniform spaces, Bull. Iranian Math. Soc., 39 No. 6 (2013), 1261-1272.
1
[2] F. Bojor, Fixed point of φ-contraction in metric spaces endowed with a graph, An. Univ. Craiova Ser. Mat. Inform., 37 No. 4, (2010), 85-92.
2
[3] J.A. Bondy and U.S.R. Murthy, Graph Theory, Springer, New York, 2008.
3
[4] Lj. Ciric, On contraction type mappings, Math. Balkanica., 1 (1971), 52-57.
4
[5] K. Fallahi and A. Aghanians, On quasi-contractions in metric spaces with a graph, Hacet. J. Math. Stat. 45 No. 4, (2016), 1033-1047.
5
[6] J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc., 136 No. 4, (2008), 1359-1373.
6
[7] J. Jachymski and I. Józwik, On Kirk's asymptotic contractions, J. Math. Anal. Appl., 300 No. 1, (2004), 147-159.
7
[8] W.A. Kirk, Fixed points of asymptotic contractions, J. Math. Anal. Appl., 277 No. 2, (2003), 645-650.
8
[9] A. Petrusel and I.A. Rus, Fixed point theorems in ordered $L$-spaces, Proc. Amer. Math. Soc., 134 No. 2, (2006), 411-418.
9
ORIGINAL_ARTICLE
Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
The aim of this paper is to establish some fixed point theorems for $\alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani \cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of \'{C}iri\'{c} {et al.} \cite{Ciric3}. We also present an application in order to illustrate the effectiveness of our results.
http://scma.maragheh.ac.ir/article_25889_18a209b89b02b6b39db270e94994f630.pdf
2017-07-01T11:23:20
2020-06-05T11:23:20
85
104
10.22130/scma.2017.25889
${b}$-metric space
Partially ordered set
Coupled fixed point
Mixed monotone property
Vahid
Parvaneh
zam.dalahoo@gmail.com
true
1
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
LEAD_AUTHOR
Nawab
Hussain
nhusain@kau.edu.sa
true
2
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
AUTHOR
Hasan
Hosseinzadeh
hasan_hz2003@yahoo.com
true
3
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
AUTHOR
Peyman
Salimi
salimipeyman@gmail.com
true
4
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
AUTHOR
[1] A. Aghajani, M. Abbas, and J.R. Roshan, Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces, to appear in Math. Slovaca.
1
[2] M.U. Ali, T. Kamran, W. Sintunavarat, and Ph. Katchang, Mizoguchi-Takahashi's Fixed Point Theorem with α,η Functions, Abstract and Applied Analysis, vol. 2013, Article ID 418798, 4 pages, 2013. doi:10.1155/2013/418798.
2
[3] A. Amini-Harandi and H. Emami, A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary diferential equations, Nonlinear Anal., 72 (2010) 2238-2242.
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[4] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65 (2006) 1379-1393.
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[5] M. Boriceanu, Strict fixed point theorems for multivalued operators in b-metric spaces, Int. J. Modern Math., 4 (3) (2009), 285-301.
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[6] Lj. Ciric, B. Damjanovic, M. Jleli, and B. Samet, Coupled fixed point theorems for generalized Mizoguchi-Takahashi contraction and applications to ordinary differential equations, Fixed Point Theory Appl., 2012, 2012:51.
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[7] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inf. Univ. Ostraviensis, 1 (1993) 5-11.
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[8] W.S. Du, Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasi-ordered metric spaces, Fixed Point Theory Appl., 2010 (2010) Article ID 876372, 9 pages.
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[9] M.E. Gordji and M. Ramezani, A generalization of Mizoguchi and Takahashi's theorem for single-valued mappings in partially ordered metric spaces, Nonlinear Anal., (2011), doi: 10.1016/j.na. 2011.04.020.
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[10] J. Harjani, B. Lopez, and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760.
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[11] N. Hussain, D. Doric, Z. Kadelburg, and S. Radenovic, Suzuki-type fixed point results in metric type spaces, Fixed Point Theory Appl., (2012), 2012:126.
11
[12] N. Hussain, E. Karapinar, P. Salimi, and P. Vetro, Fixed point results for Gm-Meir-Keeler contractive and G-(α,ψ)-Meir-Keeler contractive mappings, Fixed Point Theory and Applications 2013, 2013:34.
12
[13] N. Hussain, V. Parvaneh, J.R. Roshan, and Z Kadelburg, Fixed points of cyclic weakly (ψ, α, L, A, B)-contractive mappings in ordered b-metric spaces with applications, Fixed Point Theory Appl,. 2013 :256, 2013.
13
[14] N. Hussain, J.R. Roshan, V. Parvaneh, and M. Abbas, Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications, Journal of Inequalities and Applications, 2013, 486, 2013.
14
[15] E. Karapinar and R.P. Agarwal, A note on Coupled fixed point theorems for α-ψ-contractive-type mappings in partially ordered metric spaces, Fixed Point Theory and Applications. 2013, 2013:216.
15
[16] E. Karapinar, P. Kumam, and P. Salimi, On α-ψ-Meir-Keeler contractive mappings, Fixed Point Theory Appl., 2013, 2013:94.
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[17] E. Karapinar and B. Samet, Generalized (α-ψ)-contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., 2012 (2012) Article ID: 793486.
17
[18] N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983-992.
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[19] G. Minak and I. Altun, Some new generalizations of Mizoguchi-Takahashi type fixed point theorem, Journal of Inequalities and Applications, 2013, 2013:493.
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[20] N. Mizoguchi and W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric space, J. Math. Anal. Appl., 141 (1989) 177-188.
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[21] M. Mursaleen, S.A. Mohiuddine, and R.P. Agarwal, Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces, Fixed Point Theory Appl. 2012, 124 (2012).
21
[22] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Fixed point theorems for weakly T-Chatterjea and weakly T-Kannan contractions in b-metric spaces, Journal of Inequalities and Applications, 2014:46, 2014.
22
[23] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Some common fixed point results in ordered partial b-metric spaces, Journal of Inequalities and Applications, 2013, 562, 2013.
23
[24] S.B. Nadler Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969) 475-88.
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[25] J.J. Nieto and R. Rodriguez-Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Mathematica Sinica, 23 (12) (2007) 2205-2212.
25
[26] J.J. Nieto and R. Rodriguez-Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order, 22 (3) (2005) 223-239.
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[27] V. Parvaneh, J.R. Roshan, and S. Radenovic, Existence of tripled coincidence points in ordered b-metric spaces and an application to a system of integral equations, Fixed Point Theory and Applications, 2013, 2013:130.
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[28] A.C.M. Ran and M.C.B. Reurings, A Fixed point theorem in partially ordered metric sets and some applications to matrix equetions, Proc. Amer. Math. Soc., 132 (5)(2003) 1435-1443.
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[29] S. Reich, Fixed points of contractive functions, Boll. Unione Mat. Ital. 4 (5) (1972) 26-42.
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[30] J.R. Roshan, V. Parvaneh, and I. Altun, Some coincidence point results in ordered b-metric spaces and applications in a system of integral equations, Applied Mathematics and Computation, 2014, 226, 725-737.
30
[31] J.R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, and W. Shatanawi, Common fixed points of almost generalized (α-ψ)_s-contractive mappings in ordered b-metric spaces, Fixed Point Theory Appl., 2013, 2013:159.
31
[32] B. Samet, C. Vetro, and P. Vetro, Fixed point theorem for α-ψ-contractive type mappings, Nonlinear Anal., 75 (2012) 2154-2165.
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