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 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.
https://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 of<br />Banach algebras and characterize them in terms the concepts<br />splitting and admissibility of short exact sequences. Also we<br />investigate module contractibility of Banach algebras with the<br />concept of the module diagonal.
https://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 generalized<br />Hyers--Ulam stability of the functional equation
https://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 solution<br />and stability in random normed spaces, in non--Archimedean spaces<br />and also in $p$--Banach spaces and finally the stability using the<br />alternative fixed point of generalized additive functions in<br />several variables.
https://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 point<br />methods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation<br />$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$
https://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 a<br />unique solution for a relaxed $(gamma , r)$-cocoercive,<br />$mu$-Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where<br />$C$ is a nonempty closed convex subset of a Hilbert space $H$. From<br />this result, it can be derived that, for example, the recent<br />algorithms given in the references of this paper, despite their<br />becoming more complicated, are not general as they should be.
https://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 the<br />situations when we do not know exactly the<br /> distance. Probabilistic Metric space was<br /> introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of<br /> probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are<br /> topological vector spaces and the open mapping and closed graph<br /> Theorems in this spaces are proved.
https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf
continuous linear map
homomorphism
Triangular function
topological vector space