2017
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1
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Some properties and results for certain subclasses of starlike and convex functions
2
2
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.
1

1
15


Mohammad
Taati
Department of Mathematics, Payame Noor University, P.O.Box 193953697, Tehran, Iran.
Department of Mathematics, Payame Noor University,
Iran
m_taati@pnu.ac.ir


Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 3815688349, Iran.
Department of Mathematics, Faculty of Science,
Iran
sirousmoradi@gmail.com


Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, P.O.Box 193953697, Tehran, Iran.
Department of Mathematics, Payame Noor University,
Iran
najafzadeh1234@yahoo.ie
Analytic functions
Starlike functions
Convex functions
Coefficient estimates
[[1] S.K. Chatterjea, On starlike functions, J. Pure Math., 1 (1981) 2326.##[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) 17871795.##[3] A.W. Goodman, Univalent Functions, Vol. 1, Polygonal Publishing House, Washington, NJ, 1983.##[4] I. Graham and G. Kohr, Geometric Function Theory in One and Higher Dimensions, Marcel Dekker, New York, 2003.##[5] Z. Lewandowski, S.S. Miller, and E. Zlotkiewicz, Generating functions for some classes of univalent functions, Proc. Amer. Math. Soc., 65 (1976) 111117.##[6] J.L. Li and S. Owa, Sufficient conditions for starlikeness, Indian J. Pure Appl. Math., 33 (2002) 313318.##[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) 402419.##[8] M. Obradovi´c and S.B. Joshi, On certain classes of strongly starlike functions, Taiwanese J. Math., 2 (1998) 297302.##[9] S. Owa, M. Nunokawa, H. Saitoh, and H.M. Srivastava, Closetoconvexity, starlikeness and convexity of certain analytic functions, Appl. Math. Lett., 15 (2002) 6369.##[10] C. Ramesha, S. Kumar, and K.S. Padmanabhan, A sufficient condition for starlikeness, Chinese J. Math., 23 (1995) 167171.##[11] V. Ravichandran, C. Selvaraj, and R. Rajalaksmi, Sufficient conditions for starlike functions of order α, J. Inequal. Pure Appl. Math., 3 (5) (2002) 16., Article 81 (electronic).##[12] S. Ruscheweyh and T. SheilSmall, Hadamard products of schlicht functions and the P´olyaSchoenberg conjecture, Comment. Math. Helv., 48 (1973) 119130.##[13] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975) 109116.##[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) 115124.##[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) 325369.##[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) 412420.##]
On some results of entire functions of two complex variables using their relative lower order
2
2
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
1

17
26


Sanjib Kumar
Datta
Department of Mathematics, University of Kalyani, P.O.Kalyani, DistNadia, PIN741235, West Bengal, India.
Department of Mathematics, University of
Iran
sanjib_kr_datta@yahoo.co.in


Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.Krishnagar, DistNadia, PIN741101, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road,
Iran
tanmaybiswas_math@rediffmail.com


Golok Kumar
Mondal
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.Dhulauri, P.S.Domkal Dist.Murshidabad , PIN742308, West Bengal, India.
Dhulauri Rabindra Vidyaniketan (H.S.), Vill
Iran
golok.mondal13@rediffmail.com
Entire functions of two complex variables
Relative lower order of two complex variables
Property(A)
[[1] A.K. Agarwal, On the properties of entire function of two complex variables, Canadian Journal of Mathematics, 20 (1968), 5157.## [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), 141154.##[3] A.B. Fuks, Theory of analytic functions of several complex variables, Moscow, (1963).##]
On the reducible $M$ideals in Banach spaces
2
2
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 $frac{(n2)(n3)}{2}$. 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.
1

27
37


Sajad
Khorshidvandpour
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical
Iran
skhorshidvandpour@gmail.com


Abdolmohammad
Aminpour
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Faculty of Mathematical
Iran
aminpour@scu.ac.ir
$M$ideal
Reducible $M$ideal
Maximal $M$ideal
$M$embedded space
Semi reducible $M$ideal
[[1] E.M. Alfsen and E.G. Effros, Structure in real Banach space, Part I and II, Ann. of Math., 96 (1972) 98173. ##[2] P. Bandyopadhyay and S. Dutta, Almost Constrained Subspaces of Banach SpacesII, Houston Journal of Mathematics., 35(3) (2009) 945957. ##[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) 271284. ##[4] E. Behrands, Mstructure and the BanachStone Theorem, Lecture Notes in Math, 736, Springer, Berlin HeidelbergNew York, 1979. ##[5] P. Harmand and A. Lima, Banach spaces which are $M$ideals in their biduals, Trans. Amer. Math. Soc., 283 (1984) 253264. ##[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.##[7] J. Johnson, Remarks on Banach Spaces of Compact Operators, Journal of Functional Analysis., 32 (1979) 304311. ##[8] H.E. Lacey, The Isometric Theory of Classical Banach Spaces, SpringerVerlag, Berlin, 1974. ##[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) 116127. ##[10] R.R. Phelps, Uniqueness of HahnBanach extensions and unique best approximation, Trans. Amer. Math. Soc., 95 (1960) 238255. ##[11] N.M. Roy, An $M$ideal characterization of $G$spaces, Pacific journal of mathematics., 92 (1981) 151160. ##[12] R.R. Smith and J.D. Ward, $M$ideal structure in Banach algebras, J. Functional Analysis., 27 (1978) 337349. ##[13] R.R. Smith and J.D. Ward, $M$ideals in $B(l_p)$, Pacific Journal of Mathematics., 81(1) (1979) 227237.##[14] U. Uttersrud, On $M$ideals and the AlfsenEffros structure topology, Math. Scand., 43 (1978) 369381. ##[15] S. Willard, General Topology, AddisonWesley, Reading, MA, 1970.##]
Some notes for topological centers on the duals of Banach algebras
2
2
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.
1

39
48


Kazem
Haghnejad Azar
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of
Iran
haghnejad@uma.ac.ir


Masoumeh
Mousavi Amiri
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of
Iran
masoume.mousavi@gmail.com
Topological center
Weak topological center
Arens regularity
Module action
$n$th dual
[[1] R.E. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951) 839848.##[2] H.G. Dales, A. RodriguesPalacios, and M.V. Velasco, The second transpose of a derivation, J. London. Math. Soc. 64 (2001) 707721.##[3] M. Eshaghi Gordji and M. Filali, Arens regularity of module actions, Studia Math. 181 (2007) 237254.##[4] K. Haghnejad Azar, Arens regularity of bilinear forms and unital Banach module space, Bull. Iranian Math. Soc, 40 (2014) 505520.##[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) 417431.##[6] A.T. Lau and V. Losert, On the second Conjugate Algebra of locally compact groups, J. London Math. Soc. 37 (1988) 464480.##[7] A.T. Lau and A. Ülger, Topological center of certain dual algebras, Trans. Amer. Math. Soc. 348 (1996) 11911212.##[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) 465476.##[9] J.S. Pym, The convolution of functionals on spaces of bounded functions, Proc. London Math Soc. 15 (1965) 84104.##[10] Y. Zhang, Weak amenability of module extentions of Banach algebras, Trans. Amer. Math. Soc. 354 (2002) 41314151.##]
Fixed and common fixed points for $(psi,varphi)$weakly contractive mappings in $b$metric spaces
2
2
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.
1

49
62


Hamid
Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research
Iran
hamid_ftmath@yahoo.com


Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 163151618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University
Iran
nourouzi@kntu.ac.ir
Fixed point
bMetric space
$(psi
varphi)$Weakly contractive mapping
Altering distance function
[[1] Ya.I. Alber and S. GuerreDelabrere, Principle of weakly contractive maps in Hilbert spaces, New results in operator theory and its applications, Oper. Theory Adv. Appl., 98, Birkhauser, Basel, (1997) 722.##[2] I.A. Bakhtin, The contraction mapping principle in almost metric space, Functional analysis, (Russian), Ulyanovsk. Gos. Ped. Inst., Ulyanovsk, (1989) 2637. ##[3] M. Bota, A. Molnar, and C. Varga, On Ekeland's variational principle in bmetric spaces, Fixed Point Theory, 12 (2) (2011), 2128. ##[4] S. Chandok, A common fixed point result for (μ,Ψ)weakly contractive mappings, Gulf J. Math. 1 (2013), 6571. ##[5] S.K. Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci. 25 (1972), 727730. ##[6] G. Cortelazzo, G. Mian, G. Vezzi, and P. Zamperoni, Trademark shapes description by string matching techniques, Pattern Recognit. 27 (8) (1994), 10051018. ##[7] S. Czerwik, Contraction mappings in $b$metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993), 511. ##[8] S. Czerwik, K. Dlutek, and S.L. Singh, Roundoff stability of iteration procedures for operators in bmetric spaces, J. Natur. Phys. Sci. 11 (1997), 8794. ##[9] P.N. Dutta and B.S. Choudhury, A generalisation of contraction principle in metric spaces, Fixed Point Theory Appl., Vol. 2008, (2008), 18. Article ID 406368.##[10] R. Fagin and L. Stockmeyer, Relaxing the triangle inequality in pattern matching, Int. J. Comput. Vis. 30 (3) (1998), 219231. ##[11] H. Faraji, K. Nourouzi, and D. O'Regan, A fixed point theorem in uniform spaces generated by a family of bpseudometrics, Fixed Point Theory, (to appear). ##[12] N. Hussain and M.H. Shah, KKM mappings in cone $b$metric spaces, Comput. Math. Appl. 62 (4) (2011), 16771684. ##[13] M.A. Khamsi and N. Hussain, KKM mappings in metric type spaces, Nonlinear Anal. 73 (9) (2010), 31233129. ##[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), 19. ##[15] W. Kirk and N. Shahzad, Fixed point theory in distance spaces, Springer, 2014. ##[16] R. McConnell, R. Kwok, J. Curlander, W. Kober, and S. Pang, ΨS correlation and dynamic time warping: two methods for tracking ice floes, IEEE Trans. Geosci. Remote Sens. {29}(6), (1991), 10041012. ##[17] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Fixed point theorems for weakly $T$Chatterjea and weakly TKannan contractions in bmetric spaces, J. Inequal. Appl. 2014 (46) (2014), 14 pp.##[18] A. Petrusel, G. Petrusel, B. Samet, and J.C Yao, Coupled fixed point theorems for symmetric multivalued contractions in bmetric space with applications to systems of integral inclusions, J. Nonlinear Convex Anal., 17 (7) (2016), 12651282. ##[19] A. Petrusel, G. Petrusel, B. Samet, and J.C. Yao, Coupled fixed point theorems for symmetric contractions in bmetric spaces with applications to operator equation systems, Fixed Point Theory, 17 (2) (2016), 459478. ##[20] B.E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Anal. 47 (4) (2001), 26832693. ##[21] W. Sintunavarat, Nonlinear integral equations with new admissibility types in bmetric spaces, J. Fixed Point Theory Appl., 18 (2) (2016), 397416. ##[22] Q. Xia, The geodesic problem in quasimetric spaces, J. Geom. Anal. 19 (2) (2009), 452479.##]
Certain subclasses of biunivalent functions associated with the AghalaryEbadianWang operator
2
2
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of biunivalent functions defined in the open unit disk, which are associated with the AghalaryEbadianWang 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.
1

63
73


Hamid
Shojaei
Department of Mathematics, Payame Noor University, Tehran, Iran.
Department of Mathematics, Payame Noor University,
Iran
hshojaei2000@yahoo.com
Analytic functions
Biunivalent functions
Univalent functions
Convolution operator
[[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 137147. ##[2] D.A. Brannan and J.L. Clunie (Editors), Aspects of Contemporary Complex Analysis, Academic Press, London 1980.##[3] D.A. Brannan, J.L. Clunie, and W.E. Kirwan, Coefficient estimates for the class of starlike functions, Canad. J. Math. 22 (1970) 476485.##[4] D.A. Brannan and T.S. Taha, On some classes of biunivalent functions, Studia Univ. „BabesBolyai", Math. 31 (2) (1986), 7077.##[5] P.L. Duren, Univalent functions, SpringerVerlag, New York, 1983.##[6] B.A. Frasin and M.K. Aouf, New subclasses of biunivalent function, Appl. Math. Lett. 24 (2011), 15691573.##[7] T. Hayami and S. Owa, Coefficient coefficient bounds for biunivalent functions, Panamer. Math. J. 22 (4) (2012), 1526.##[8] M. Lewin, On a coefficient problem for biunivalent function, Proc. Amer. Math. Soc. 18 (1967), 6368.##[9] X.F. Li and A.P. Wang, Two new subclasses of biunivalent functions, Internat. Math. Forum, 7 (2012), 14951504.##[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) 100112. ##[11] H.M. Srivastava, G. Murugusundaramoorthy, and N. Magesh, Certain subclasses of biunivalent functions associated with the Hoholv operator, Global J. Math. Analysis, 1 (2) (2013) 6773.##[12] H.M. Srivastava, A.K. Mishra, and P. Gochhayat, Certain subclasses of analytic and biunivalent functions, Appl. Math. Lett. 23 (2010), 11881192.##[13] T.S. Taha, Topic in Univalent Function Theory, Ph.D. Thesis, University of London 1981.##[14] Q.H. Xu, Y.C. Gui, and H.M. Srivastava, Coefficient estimates for a certain subclass of analytic and biunivalent functions and associated coefficient estimate problems, Appl. Math. Lett. 25 (2012),990994.##[15] Q.H. Xu, H.G. Xiao, and H.M. Srivastava, A certain general subclass of analytic and biunivalent functions and associated coefficient estimate problems, Appl. Math. Comput. 218 (2012), 1146111465.##]
$G$asymptotic contractions in metric spaces with a graph and fixed point results
2
2
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.
1

75
83


Kamal
Fallahi
Department of Mathematics, Payame Noor University, P.O. Box 193953697, Tehran, Iran.
Department of Mathematics, Payame Noor University,
Iran
fallahi1361@gmail.com
$G$asymptotic contraction
Orbitally $G$continuous selfmap
Fixed point
[[1] A. Aghanians, K. Fallahi, and K. Nourouzi, Fixed points for $E$asymptotic contractions and BoydWong type $E$contractions in uniform spaces, Bull. Iranian Math. Soc., 39 No. 6 (2013), 12611272.##[2] F. Bojor, Fixed point of φcontraction in metric spaces endowed with a graph, An. Univ. Craiova Ser. Mat. Inform., 37 No. 4, (2010), 8592.##[3] J.A. Bondy and U.S.R. Murthy, Graph Theory, Springer, New York, 2008.##[4] Lj. Ciric, On contraction type mappings, Math. Balkanica., 1 (1971), 5257.##[5] K. Fallahi and A. Aghanians, On quasicontractions in metric spaces with a graph, Hacet. J. Math. Stat. 45 No. 4, (2016), 10331047.##[6] J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc., 136 No. 4, (2008), 13591373.##[7] J. Jachymski and I. Józwik, On Kirk's asymptotic contractions, J. Math. Anal. Appl., 300 No. 1, (2004), 147159.##[8] W.A. Kirk, Fixed points of asymptotic contractions, J. Math. Anal. Appl., 277 No. 2, (2003), 645650.##[9] A. Petrusel and I.A. Rus, Fixed point theorems in ordered $L$spaces, Proc. Amer. Math. Soc., 134 No. 2, (2006), 411418.##]
Coupled fixed point results for $alpha$admissible MizoguchiTakahashi contractions in $b$metric spaces with applications
2
2
The aim of this paper is to establish some fixed point theorems for $alpha$admissible MizoguchiTakahashi 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.
1

85
104


Vahid
Parvaneh
Department of Mathematics, GilanEGharb Branch, Islamic Azad University, GilanEGharb, Iran.
Department of Mathematics, GilanEGharb
Iran
zam.dalahoo@gmail.com


Nawab
Hussain
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
Department of Mathematics, King Abdulaziz
Iran
nhusain@kau.edu.sa


Hasan
Hosseinzadeh
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
Department of Mathematics, Ardebil Branch,
Iran
hasan_hz2003@yahoo.com


Peyman
Salimi
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
Peyman Salimi: Young Researchers and Elite
Iran
salimipeyman@gmail.com
${b}$metric space
Partially ordered set
Coupled fixed point
Mixed monotone property
[[1] A. Aghajani, M. Abbas, and J.R. Roshan, Common fixed point of generalized weak contractive mappings in partially ordered bmetric spaces, to appear in Math. Slovaca.##[2] M.U. Ali, T. Kamran, W. Sintunavarat, and Ph. Katchang, MizoguchiTakahashi'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.##[3] A. AminiHarandi 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) 22382242.##[4] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65 (2006) 13791393.##[5] M. Boriceanu, Strict fixed point theorems for multivalued operators in bmetric spaces, Int. J. Modern Math., 4 (3) (2009), 285301.##[6] Lj. Ciric, B. Damjanovic, M. Jleli, and B. Samet, Coupled fixed point theorems for generalized MizoguchiTakahashi contraction and applications to ordinary differential equations, Fixed Point Theory Appl., 2012, 2012:51.##[7] S. Czerwik, Contraction mappings in bmetric spaces, Acta Math. Inf. Univ. Ostraviensis, 1 (1993) 511.##[8] W.S. Du, Coupled fixed point theorems for nonlinear contractions satisfied MizoguchiTakahashi's condition in quasiordered metric spaces, Fixed Point Theory Appl., 2010 (2010) Article ID 876372, 9 pages.##[9] M.E. Gordji and M. Ramezani, A generalization of Mizoguchi and Takahashi's theorem for singlevalued mappings in partially ordered metric spaces, Nonlinear Anal., (2011), doi: 10.1016/j.na. 2011.04.020.##[10] J. Harjani, B. Lopez, and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 17491760.##[11] N. Hussain, D. Doric, Z. Kadelburg, and S. Radenovic, Suzukitype fixed point results in metric type spaces, Fixed Point Theory Appl., (2012), 2012:126.##[12] N. Hussain, E. Karapinar, P. Salimi, and P. Vetro, Fixed point results for GmMeirKeeler contractive and G(α,ψ)MeirKeeler contractive mappings, Fixed Point Theory and Applications 2013, 2013:34.##[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 bmetric spaces with applications, Fixed Point Theory Appl,. 2013 :256, 2013.##[14] N. Hussain, J.R. Roshan, V. Parvaneh, and M. Abbas, Common fixed point results for weak contractive mappings in ordered bdislocated metric spaces with applications, Journal of Inequalities and Applications, 2013, 486, 2013.##[15] E. Karapinar and R.P. Agarwal, A note on Coupled fixed point theorems for αψcontractivetype mappings in partially ordered metric spaces, Fixed Point Theory and Applications. 2013, 2013:216.##[16] E. Karapinar, P. Kumam, and P. Salimi, On αψMeirKeeler contractive mappings, Fixed Point Theory Appl., 2013, 2013:94.##[17] E. Karapinar and B. Samet, Generalized (αψ)contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., 2012 (2012) Article ID: 793486.##[18] N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983992.##[19] G. Minak and I. Altun, Some new generalizations of MizoguchiTakahashi type fixed point theorem, Journal of Inequalities and Applications, 2013, 2013:493.##[20] N. Mizoguchi and W. Takahashi, Fixed point theorems for multivalued mappings on complete metric space, J. Math. Anal. Appl., 141 (1989) 177188.##[21] M. Mursaleen, S.A. Mohiuddine, and R.P. Agarwal, Coupled fixed point theorems for αψcontractive type mappings in partially ordered metric spaces, Fixed Point Theory Appl. 2012, 124 (2012).##[22] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Fixed point theorems for weakly TChatterjea and weakly TKannan contractions in bmetric spaces, Journal of Inequalities and Applications, 2014:46, 2014.##[23] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg, Some common fixed point results in ordered partial bmetric spaces, Journal of Inequalities and Applications, 2013, 562, 2013.##[24] S.B. Nadler Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969) 47588.##[25] J.J. Nieto and R. RodriguezLopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Mathematica Sinica, 23 (12) (2007) 22052212.##[26] J.J. Nieto and R. RodriguezLopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order, 22 (3) (2005) 223239.##[27] V. Parvaneh, J.R. Roshan, and S. Radenovic, Existence of tripled coincidence points in ordered bmetric spaces and an application to a system of integral equations, Fixed Point Theory and Applications, 2013, 2013:130.##[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) 14351443.##[29] S. Reich, Fixed points of contractive functions, Boll. Unione Mat. Ital. 4 (5) (1972) 2642.##[30] J.R. Roshan, V. Parvaneh, and I. Altun, Some coincidence point results in ordered bmetric spaces and applications in a system of integral equations, Applied Mathematics and Computation, 2014, 226, 725737.##[31] J.R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, and W. Shatanawi, Common fixed points of almost generalized (αψ)_scontractive mappings in ordered bmetric spaces, Fixed Point Theory Appl., 2013, 2013:159.##[32] B. Samet, C. Vetro, and P. Vetro, Fixed point theorem for αψcontractive type mappings, Nonlinear Anal., 75 (2012) 21542165.##]