2024-03-28T20:23:41Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=4597
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
Some properties and results for certain subclasses of starlike and convex functions
Mohammad
Taati
Sirous
Moradi
Shahram
Najafzadeh
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.
Analytic functions
Starlike functions
Convex functions
Coefficient estimates
2017
07
01
1
15
https://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
On some results of entire functions of two complex variables using their relative lower order
Sanjib Kumar
Datta
Tanmay
Biswas
Golok Kumar
Mondal
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
Entire functions of two complex variables
Relative lower order of two complex variables
Property(A)
2017
07
01
17
26
https://scma.maragheh.ac.ir/article_24171_0a9ec9133fe3b9cb12b1af69da4a8b64.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
On the reducible $M$-ideals in Banach spaces
Sajad
Khorshidvandpour
Abdolmohammad
Aminpour
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.
$M$-ideal
Reducible $M$-ideal
Maximal $M$-ideal
$M$-embedded space
Semi reducible $M$-ideal
2017
07
01
27
37
https://scma.maragheh.ac.ir/article_23873_5d80e8659619ca4eed8588332a074319.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
Some notes for topological centers on the duals of Banach algebras
Kazem
Haghnejad Azar
Masoumeh
Mousavi Amiri
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.
Topological center
Weak topological center
Arens regularity
Module action
$n$-th dual
2017
07
01
39
48
https://scma.maragheh.ac.ir/article_23648_1ec312b49c036b8f109bb89d68ad5f9c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces
Hamid
Faraji
Kourosh
Nourouzi
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.
Fixed point
b-Metric space
$(psi
varphi)$-Weakly contractive mapping
Altering distance function
2017
07
01
49
62
https://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
Hamid
Shojaei
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.
Analytic functions
Bi-univalent functions
Univalent functions
Convolution operator
2017
07
01
63
73
https://scma.maragheh.ac.ir/article_25952_649aa54b8f8400e14883fcb750497e60.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
$G$-asymptotic contractions in metric spaces with a graph and fixed point results
Kamal
Fallahi
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.
$G$-asymptotic contraction
Orbitally $G$-continuous self-map
Fixed point
2017
07
01
75
83
https://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
07
1
Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
Vahid
Parvaneh
Nawab
Hussain
Hasan
Hosseinzadeh
Peyman
Salimi
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.
${b}$-metric space
Partially ordered set
Coupled fixed point
Mixed monotone property
2017
07
01
85
104
https://scma.maragheh.ac.ir/article_25889_18a209b89b02b6b39db270e94994f630.pdf