University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
Some properties and results for certain subclasses of starlike and convex functions
1
15
EN
Mohammad
Taati
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
m_taati@pnu.ac.ir
Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
sirousmoradi@gmail.com
Shahram
Najafzadeh
0000-0002-8124-8344
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
najafzadeh1234@yahoo.ie
10.22130/scma.2017.24245
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
https://scma.maragheh.ac.ir/article_24245.html
https://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
On some results of entire functions of two complex variables using their relative lower order
17
26
EN
Sanjib Kumar
Datta
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
sanjib_kr_datta@yahoo.co.in
Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
tanmaybiswas_math@rediffmail.com
Golok Kumar
Mondal
Dhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.
golok.mondal13@rediffmail.com
10.22130/scma.2017.24171
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)
https://scma.maragheh.ac.ir/article_24171.html
https://scma.maragheh.ac.ir/article_24171_0a9ec9133fe3b9cb12b1af69da4a8b64.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
On the reducible $M$-ideals in Banach spaces
27
37
EN
Sajad
Khorshidvandpour
0000-0001-7824-9672
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
skhorshidvandpour@gmail.com
Abdolmohammad
Aminpour
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
aminpour@scu.ac.ir
10.22130/scma.2017.23873
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
https://scma.maragheh.ac.ir/article_23873.html
https://scma.maragheh.ac.ir/article_23873_5d80e8659619ca4eed8588332a074319.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
Some notes for topological centers on the duals of Banach algebras
39
48
EN
Kazem
Haghnejad Azar
0000-0002-2591-3362
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
haghnejad@uma.ac.ir
Masoumeh
Mousavi Amiri
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
masoume.mousavi@gmail.com
10.22130/scma.2017.23648
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
https://scma.maragheh.ac.ir/article_23648.html
https://scma.maragheh.ac.ir/article_23648_1ec312b49c036b8f109bb89d68ad5f9c.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
49
62
EN
Hamid
Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
hamid_ftmath@yahoo.com
Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
nourouzi@kntu.ac.ir
10.22130/scma.2017.26524
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
https://scma.maragheh.ac.ir/article_26524.html
https://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
63
73
EN
Hamid
Shojaei
Department of Mathematics, Payame Noor University, Tehran, Iran.
hshojaei2000@yahoo.com
10.22130/scma.2017.25952
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
https://scma.maragheh.ac.ir/article_25952.html
https://scma.maragheh.ac.ir/article_25952_649aa54b8f8400e14883fcb750497e60.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
$G$-asymptotic contractions in metric spaces with a graph and fixed point results
75
83
EN
Kamal
Fallahi
0000-0003-3400-4424
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
fallahi1361@gmail.com
10.22130/scma.2017.23946
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
https://scma.maragheh.ac.ir/article_23946.html
https://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
07
1
2017
07
01
Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
85
104
EN
Vahid
Parvaneh
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
zam.dalahoo@gmail.com
Nawab
Hussain
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
nhusain@kau.edu.sa
Hasan
Hosseinzadeh
0000-0002-1723-4140
Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
hasan_hz2003@yahoo.com
Peyman
Salimi
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
salimipeyman@gmail.com
10.22130/scma.2017.25889
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
https://scma.maragheh.ac.ir/article_25889.html
https://scma.maragheh.ac.ir/article_25889_18a209b89b02b6b39db270e94994f630.pdf