Some properties and results for certain subclasses of starlike and convex functions
Mohammad
Taati
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
author
Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
author
Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
1
15
http://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
dx.doi.org/10.22130/scma.2017.24245
On some results of entire functions of two complex variables using their relative lower order
Sanjib Kumar
Datta
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
author
Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
author
Golok Kumar
Mondal
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
author
text
article
2017
eng
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
17
26
http://scma.maragheh.ac.ir/article_24171_0a9ec9133fe3b9cb12b1af69da4a8b64.pdf
dx.doi.org/10.22130/scma.2017.24171
On the reducible $M$-ideals in Banach spaces
Sajad
Khorshidvandpour
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
author
Abdolmohammad
Aminpour
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
27
37
http://scma.maragheh.ac.ir/article_23873_5d80e8659619ca4eed8588332a074319.pdf
dx.doi.org/10.22130/scma.2017.23873
Some notes for topological centers on the duals of Banach algebras
Kazem
Haghnejad Azar
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
author
Masoumeh
Mousavi Amiri
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
39
48
http://scma.maragheh.ac.ir/article_23648_1ec312b49c036b8f109bb89d68ad5f9c.pdf
dx.doi.org/10.22130/scma.2017.23648
Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces
Hamid
Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
author
Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
49
62
http://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf
dx.doi.org/10.22130/scma.2017.26524
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
Hamid
Shojaei
Department of Mathematics, Payame Noor University, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
63
73
http://scma.maragheh.ac.ir/article_25952_649aa54b8f8400e14883fcb750497e60.pdf
dx.doi.org/10.22130/scma.2017.25952
$G$-asymptotic contractions in metric spaces with a graph and fixed point results
Kamal
Fallahi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
75
83
http://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf
dx.doi.org/10.22130/scma.2017.23946
Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
Vahid
Parvaneh
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
author
Nawab
Hussain
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
author
Hasan
Hosseinzadeh
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
author
Peyman
Salimi
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
07
v.
1
no.
2017
85
104
http://scma.maragheh.ac.ir/article_25889_18a209b89b02b6b39db270e94994f630.pdf
dx.doi.org/10.22130/scma.2017.25889