Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator
1
5
EN
M.
Acu
Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania
Sh.
Najafzadeh
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran
10.22075/ijnaa.2010.61
By using generalized Salagean differential operator a new<br />class of univalent holomorphic functions with fixed finitely many<br />coefficients is defined. Coefficient estimates, extreme points,<br />arithmetic mean, and weighted mean properties are investigated.
Salagean operator,univalent function,Coefficient estimate,Extreme point,Arithmetic and weighted mean
https://ijnaa.semnan.ac.ir/article_61.html
https://ijnaa.semnan.ac.ir/article_61_2432edd8950dba4f7e2ba0583a52c77a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
The structure of module contractible Banach algebras
6
11
EN
A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
10.22075/ijnaa.2010.63
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.
Banach algebra,Banach module,module derivation,module contractible,module diagonal
https://ijnaa.semnan.ac.ir/article_63.html
https://ijnaa.semnan.ac.ir/article_63_2a96add2c01318d4b0425d6fc42a9406.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Cubic-quartic functional equations in fuzzy normed spaces
12
21
EN
N.
Ghobadipour
Department of Mathematics, Urmia University, Urmia, Iran.
C.
Park
Department of Mathematics, Hanyang University, Seoul 133-791, Korea.
10.22075/ijnaa.2010.65
In this paper, we investigate the generalized Hyers--Ulam stability of the functional equation.
Fuzzy normed space,cubic functional equation,quartic functional equation,generalized Hyers--Ulam stability
https://ijnaa.semnan.ac.ir/article_65.html
https://ijnaa.semnan.ac.ir/article_65_640d24feb2b4cc01b0c2378baaeb4f4b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Approximately generalized additive functions in several variables
22
41
EN
H.
Khodaei
Department of Mathematics,
Semnan University P. O. Box 35195-363, Semnan, Iran.
Th. M.
Rassias
Department of Mathematics, National Technical University
of Athens, Zografou, Campus 15780 Athens, Greece
10.22075/ijnaa.2010.66
The goal of this paper is to investigate the solution and stability in random normed spaces, in non--Archimedean spaces and also in $p$--Banach spaces and finally the stability using the alternative fixed point of generalized additive functions in several variables.
Additive function,$p$--Banach spaces,Random normed spaces,Non-–Archimedean spaces,Fixed point method,Generalized Hyers–-Ulam stability
https://ijnaa.semnan.ac.ir/article_66.html
https://ijnaa.semnan.ac.ir/article_66_d89be0906ffd625f686debb251ec053a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
42
53
EN
F.
Rostami
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
S. A. R.
Hosseinioun
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
10.22075/ijnaa.2010.67
Using fixed point methods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation<br />$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z).$$
fixes point theorem,higher ternary Jordan derivation,approximately higher ternary Jordan derivation,stability
https://ijnaa.semnan.ac.ir/article_67.html
https://ijnaa.semnan.ac.ir/article_67_93d8790cfa8de0f574b7449958a954a8.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Comments on relaxed $(gamma, r)$-cocoercive mappings
54
57
EN
S.
Saeidi
Department of Mathematics, University of Kurdistan,
Sanandaj 416, Kurdistan, Iran.
10.22075/ijnaa.2010.68
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.
Common element,Contraction,Fixed point,Iteration,Nonexpansive mapping,Relaxed $(\gamma , r)$-cocoercive mappings,variational inequality
https://ijnaa.semnan.ac.ir/article_68.html
https://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
1
1
2010
01
01
Some properties of continuous linear operators in topological vector PN-spaces
58
64
EN
M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran,
Iran.
L.
Guillen
Departamento de Estadistica Ymatem'atica Aplicada,
Universidad de Almeria, e-04120, Spain
S.
Saiedinezhad
Department of Mathematics Iran University of Science and Technology, Narmak, Tehran,
Iran.
10.22075/ijnaa.2010.69
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.
continuous linear map,homomorphism,Triangular function,topological vector space
https://ijnaa.semnan.ac.ir/article_69.html
https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf