eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
1
5
10.22075/ijnaa.2010.61
61
Univalent holomorphic functions with fixed finitely
many coefficients involving Salagean operator
M. Acu
1
Sh. Najafzadeh
2
Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania
Department of Mathematics, Faculty of Science,University of Maragheh, Maragheh-Iran
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.
http://ijnaa.semnan.ac.ir/article_61_2432edd8950dba4f7e2ba0583a52c77a.pdf
Salagean operator
Univalent function
Coefficient estimate
Extreme point
Arithmetic and
weighted mean
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
6
11
10.22075/ijnaa.2010.63
63
The structure of module contractible Banach algebras
A. Bodaghi
1
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
In this paper we study the module contractibility ofBanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. Also weinvestigate module contractibility of Banach algebras with theconcept of the module diagonal.
http://ijnaa.semnan.ac.ir/article_63_2a96add2c01318d4b0425d6fc42a9406.pdf
Banach algebra
Banach module
module
derivation
module contractible
module diagonal
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
12
21
10.22075/ijnaa.2010.65
65
Cubic-quartic functional equations in fuzzy normed spaces
N. Ghobadipour
1
C. Park
2
Department of Mathematics, Urmia University, Urmia, Iran.
Department of Mathematics, Hanyang University, Seoul 133-791, Korea.
In this paper, we investigate the generalizedHyers--Ulam stability of the functional equation
http://ijnaa.semnan.ac.ir/article_65_640d24feb2b4cc01b0c2378baaeb4f4b.pdf
Fuzzy normed space
cubic functional
equation
quartic functional equation
generalized Hyers--Ulam
stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
22
41
10.22075/ijnaa.2010.66
66
Approximately generalized additive functions
in several variables
H. Khodaei
1
Th. M. Rassias
2
Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece.
The goal of this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.
http://ijnaa.semnan.ac.ir/article_66_d89be0906ffd625f686debb251ec053a.pdf
Additive function
$p$--Banach
spaces
Random normed spaces
Non-–Archimedean spaces
Fixed point
method
Generalized Hyers–-Ulam stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
42
53
10.22075/ijnaa.2010.67
67
Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
F. Rostami
1
S. A. R. Hosseinioun
2
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran.
Using fixed pointmethods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$
http://ijnaa.semnan.ac.ir/article_67_93d8790cfa8de0f574b7449958a954a8.pdf
fixes point theorem
higher ternary
Jordan derivation
approximately higher ternary Jordan derivation
Stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
54
57
10.22075/ijnaa.2010.68
68
Comments on relaxed $(gamma, r)$-cocoercive mappings
S. Saeidi
1
Department of Mathematics, University of Kurdistan, Sanandaj 416, Kurdistan, Iran.
We show that the variational inequality $VI(C,A)$ has aunique 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 $H$. Fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not general as they should be.
http://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf
Common element
Contraction
Fixed
point
Iteration
Nonexpansive mapping
Relaxed $(gamma ,
r)$-cocoercive mappings
variational inequality
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2010-01-01
1
1
58
64
10.22075/ijnaa.2010.69
69
Some properties of continuous linear operators in topological vector PN-spaces
M. B. Ghaemi
1
L. Guillen
2
S. Saiedinezhad
3
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Departamento de estadistica ymatem\'atica aplicada, universidad de almeria, e-04120, Spain
Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.
The notion of a probabilistic metric space corresponds to thesituations 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.
http://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf
continuous linear map
homomorphism
triangular function
topological vector space