2010
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64
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Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator
https://ijnaa.semnan.ac.ir/article_61.html
10.22075/ijnaa.2010.61
1
By using generalized Salagean differential operator a newclass of univalent holomorphic functions with fixed finitely manycoefficients is defined. Coefficient estimates, extreme points,arithmetic mean, and weighted mean properties are investigated.
0

1
5


M.
Acu
Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania
Romania


Sh.
Najafzadeh
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran
Iran
Salagean operator
univalent function
Coefficient estimate
Extreme point
Arithmetic and weighted mean
1

The structure of module contractible Banach algebras
https://ijnaa.semnan.ac.ir/article_63.html
10.22075/ijnaa.2010.63
1
In this paper we study the module contractibility of Banach algebras and characterize them in terms the concepts splitting and admissibility of short exact sequences. Also we investigate module contractibility of Banach algebras with the concept of the module diagonal.
0

6
11


A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
Iran
Banach algebra
Banach module
module derivation
module contractible
module diagonal
1

Cubicquartic functional equations in fuzzy normed spaces
https://ijnaa.semnan.ac.ir/article_65.html
10.22075/ijnaa.2010.65
1
In this paper, we investigate the generalized HyersUlam stability of the functional equation.
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12
21


N.
Ghobadipour
Department of Mathematics, Urmia University, Urmia, Iran.
Iran


C.
Park
Department of Mathematics, Hanyang University, Seoul 133791, Korea.
Korea
Fuzzy normed space
cubic functional equation
quartic functional equation
generalized HyersUlam stability
1

Approximately generalized additive functions in several variables
https://ijnaa.semnan.ac.ir/article_66.html
10.22075/ijnaa.2010.66
1
The goal of this paper is to investigate the solution and stability in random normed spaces, in nonArchimedean spaces and also in $p$Banach spaces and finally the stability using the alternative fixed point of generalized additive functions in several variables.
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22
41


H.
Khodaei
Department of Mathematics,
Semnan University P. O. Box 35195363, Semnan, Iran.
Iran


Th. M.
Rassias
Department of Mathematics, National Technical University
of Athens, Zografou, Campus 15780 Athens, Greece
Greece
Additive function
$p$Banach spaces
Random normed spaces
Non–Archimedean spaces
Fixed point method
Generalized Hyers–Ulam stability
1

Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
https://ijnaa.semnan.ac.ir/article_67.html
10.22075/ijnaa.2010.67
1
Using fixed point methods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z).$$
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42
53


F.
Rostami
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
Iran


S. A. R.
Hosseinioun
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
Iran
fixes point theorem
higher ternary Jordan derivation
approximately higher ternary Jordan derivation
stability
1

Comments on relaxed $(gamma, r)$cocoercive mappings
https://ijnaa.semnan.ac.ir/article_68.html
10.22075/ijnaa.2010.68
1
We show that the variational inequality $VI(C,A)$ has a unique solution for a relaxed $(gamma , r)$cocoercive, $mu$Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where $C$ is a nonempty closed convex subset of a Hilbert space $H$. From this result, it can be derived that, for example, the recent algorithms given in the references of this paper, despite their becoming more complicated, are not general as they should be.
0

54
57


S.
Saeidi
Department of Mathematics, University of Kurdistan,
Sanandaj 416, Kurdistan, Iran.
Iran
Common element
Contraction
Fixed point
Iteration
Nonexpansive mapping
Relaxed $(gamma , r)$cocoercive mappings
variational inequality
1

Some properties of continuous linear operators in topological vector PNspaces
https://ijnaa.semnan.ac.ir/article_69.html
10.22075/ijnaa.2010.69
1
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved.
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58
64


M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran,
Iran.
Iran


L.
Guillen
Departamento de Estadistica Ymatem'atica Aplicada,
Universidad de Almeria, e04120, Spain
Spain


S.
Saiedinezhad
Department of Mathematics Iran University of Science and Technology, Narmak, Tehran,
Iran.
Iran
continuous linear map
homomorphism
Triangular function
topological vector space