ORIGINAL_ARTICLE
Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator
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.
https://ijnaa.semnan.ac.ir/article_61_2432edd8950dba4f7e2ba0583a52c77a.pdf
2010-01-01
1
5
10.22075/ijnaa.2010.61
Salagean operator
univalent function
Coefficient estimate
Extreme point
Arithmetic and weighted mean
M.
Acu
1
Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania
AUTHOR
Sh.
Najafzadeh
2
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
The structure of module contractible Banach algebras
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.
https://ijnaa.semnan.ac.ir/article_63_2a96add2c01318d4b0425d6fc42a9406.pdf
2010-01-01
6
11
10.22075/ijnaa.2010.63
Banach algebra
Banach module
module derivation
module contractible
module diagonal
A.
Bodaghi
1
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Cubic-quartic functional equations in fuzzy normed spaces
In this paper, we investigate the generalized Hyers--Ulam stability of the functional equation.
https://ijnaa.semnan.ac.ir/article_65_640d24feb2b4cc01b0c2378baaeb4f4b.pdf
2010-01-01
12
21
10.22075/ijnaa.2010.65
Fuzzy normed space
cubic functional equation
quartic functional equation
generalized Hyers--Ulam stability
N.
Ghobadipour
1
Department of Mathematics, Urmia University, Urmia, Iran.
LEAD_AUTHOR
C.
Park
2
Department of Mathematics, Hanyang University, Seoul 133-791, Korea.
AUTHOR
ORIGINAL_ARTICLE
Approximately generalized additive functions in several variables
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.
https://ijnaa.semnan.ac.ir/article_66_d89be0906ffd625f686debb251ec053a.pdf
2010-01-01
22
41
10.22075/ijnaa.2010.66
Additive function
$p$--Banach spaces
Random normed spaces
Non-–Archimedean spaces
Fixed point method
Generalized Hyers–-Ulam stability
H.
Khodaei
1
Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.
LEAD_AUTHOR
Th. M.
Rassias
2
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece
AUTHOR
ORIGINAL_ARTICLE
Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
Using fixed point methods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(\lambda_{1}x+\lambda_{2}y+\lambda_3z)=\lambda_1f(x)+\lambda_2f(y)+\lambda_3f(z).$$
https://ijnaa.semnan.ac.ir/article_67_93d8790cfa8de0f574b7449958a954a8.pdf
2010-01-01
42
53
10.22075/ijnaa.2010.67
fixes point theorem
higher ternary Jordan derivation
approximately higher ternary Jordan derivation
stability
F.
Rostami
1
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
AUTHOR
S. A. R.
Hosseinioun
2
Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Comments on relaxed $(\gamma, r)$-cocoercive mappings
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.
https://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf
2010-01-01
54
57
10.22075/ijnaa.2010.68
Common element
Contraction
Fixed point
Iteration
Nonexpansive mapping
Relaxed $(gamma , r)$-cocoercive mappings
variational inequality
S.
Saeidi
1
Department of Mathematics, University of Kurdistan, Sanandaj 416, Kurdistan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some properties of continuous linear operators in topological vector PN-spaces
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.
https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf
2010-01-01
58
64
10.22075/ijnaa.2010.69
continuous linear map
homomorphism
Triangular function
topological vector space
M. B.
Ghaemi
1
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
LEAD_AUTHOR
L.
Guillen
2
Departamento de Estadistica Ymatem'atica Aplicada, Universidad de Almeria, e-04120, Spain
AUTHOR
S.
Saiedinezhad
3
Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.
AUTHOR