eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
1
15
10.22130/scma.2017.24245
24245
مقاله پژوهشی
Some properties and results for certain subclasses of starlike and convex functions
Mohammad Taati
m_taati@pnu.ac.ir
1
Sirous Moradi
sirousmoradi@gmail.com
2
Shahram Najafzadeh
najafzadeh1234@yahoo.ie
3
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
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
Analytic functions
Starlike functions
Convex functions
Coefficient estimates
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
17
26
10.22130/scma.2017.24171
24171
مقاله پژوهشی
On some results of entire functions of two complex variables using their relative lower order
Sanjib Kumar Datta
sanjib_kr_datta@yahoo.co.in
1
Tanmay Biswas
tanmaybiswas_math@rediffmail.com
2
Golok Kumar Mondal
golok.mondal13@rediffmail.com
3
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
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
Entire functions of two complex variables
Relative lower order of two complex variables
Property(A)
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
27
37
10.22130/scma.2017.23873
23873
مقاله پژوهشی
On the reducible $M$-ideals in Banach spaces
Sajad Khorshidvandpour
skhorshidvandpour@gmail.com
1
Abdolmohammad Aminpour
aminpour@scu.ac.ir
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.
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
$M$-ideal
Reducible $M$-ideal
Maximal $M$-ideal
$M$-embedded space
Semi reducible $M$-ideal
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
39
48
10.22130/scma.2017.23648
23648
مقاله پژوهشی
Some notes for topological centers on the duals of Banach algebras
Kazem Haghnejad Azar
haghnejad@uma.ac.ir
1
Masoumeh Mousavi Amiri
masoume.mousavi@gmail.com
2
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
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
Topological center
Weak topological center
Arens regularity
Module action
$n$-th dual
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
49
62
10.22130/scma.2017.26524
26524
مقاله پژوهشی
Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
Hamid Faraji
hamid_ftmath@yahoo.com
1
Kourosh Nourouzi
nourouzi@kntu.ac.ir
2
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
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
Fixed point
b-Metric space
$(psi
varphi)$-Weakly contractive mapping
Altering distance function
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
63
73
10.22130/scma.2017.25952
25952
مقاله پژوهشی
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
Hamid Shojaei
hshojaei2000@yahoo.com
1
Department of Mathematics, Payame Noor University, Tehran, Iran.
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
Analytic functions
Bi-univalent functions
Univalent functions
Convolution operator
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
75
83
10.22130/scma.2017.23946
23946
مقاله پژوهشی
$G$-asymptotic contractions in metric spaces with a graph and fixed point results
Kamal Fallahi
fallahi1361@gmail.com
1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
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
$G$-asymptotic contraction
Orbitally $G$-continuous self-map
Fixed point
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-07-01
07
1
85
104
10.22130/scma.2017.25889
25889
مقاله پژوهشی
Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
Vahid Parvaneh
zam.dalahoo@gmail.com
1
Nawab Hussain
nhusain@kau.edu.sa
2
Hasan Hosseinzadeh
hasan_hz2003@yahoo.com
3
Peyman Salimi
salimipeyman@gmail.com
4
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
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
${b}$-metric space
Partially ordered set
Coupled fixed point
Mixed monotone property