Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Some fixed point theorems and common fixed point theorem in log-convex structure
1
6
EN
A.R.
Moazzen
Department of Mathematics , Velayat University, Iranshahr, Iran.
10.22075/ijnaa.2014.120
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure are proved.
log,Convex structure
https://ijnaa.semnan.ac.ir/article_120.html
https://ijnaa.semnan.ac.ir/article_120_76bab3ef8574fc7a07676f8212c06a8e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach
7
15
EN
S.A.R.
Hosseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
R.
Farrokhzad
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
10.22075/ijnaa.2014.121
We say a functional equation $(xi)$ is stable if any function $g$ satisfying the equation $(xi)$ approximately is near to true solution of $(xi)$. Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation<br />$$f(lambda_1x + lambda_2y + lambda_3z) = lambda_1f(x) + lambda_2f(y) + lambda_3f(z).$$
Alternative fixed point,HyersUlamRassias stability,ternary algebra,ternary derivation
https://ijnaa.semnan.ac.ir/article_121.html
https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
On $lambda^2$-asymptotically double statistical equivalent sequences
16
21
EN
A.
Esi
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
M.
Acikgoz
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey
10.22075/ijnaa.2014.122
This paper presents the following new definition which is a natural combination of the definition for asymptotically double equivalent, double statistically limit and double $lambda^2$-sequences. The double sequence $lambda^2 = (lambda_{m,n})$ of positive real numbers tending to infinity such that<br />$$lambda_{m+1,n}leqlambda_{m,n} + 1, lambda_{m,n+1}leqlambda{m,n} + 1,$$<br />$$lambda_{m,n} -lambda_{m+1,n }leqlambda_{m,n+1}lambda_{m+1,n+1}, lambda_{1,1} = 1,$$<br />and<br />$$I_{m,n}={(k,l) : m -lambda_{m,n }+ 1 leq k leq m, n -lambda_{m,n} + 1 leq l leq n.$$<br />For double $lambda^2$-sequence; the two non-negative sequences $x = (x_{k,l})$ and $y = (y_{k,l})$ are said to be<br />$lambda^2$-asymptotically double statistical equivalent of multiple $L$ provided that for every $varepsilon> 0$<br />$$P - lim_{m,n}frac{1}{lambda_{m,n}}|{(k,l)in I_{m,n}:|frac{x_{k,l}}{y_{k,l}}-Lgeqvarepsilon}|=0$$<br />(denoted by $xsim^{S_{lambda^2}^L } y$) and simply $lambda^2$-asymptotically double statistical equivalent if $L = 1$.
Pringsheim Limit Point,P-convergent,double statistical convergence
https://ijnaa.semnan.ac.ir/article_122.html
https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
New results for fractional evolution equations using Banach fixed point theorem
22
30
EN
Z.
Dahmani
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
S.
Belarbi
Faculty of Mathematics, USTHB of Algiers, Algeria
10.22075/ijnaa.2014.123
In this paper, we study the existence of solutions for fractional evolution equations with nonlocal conditions. These results are obtained using Banach contraction fixed point theorem. Other results are also presented using Krasnoselskii theorem.
Caputo derivative,Fixed point theorem,Differential equation
https://ijnaa.semnan.ac.ir/article_123.html
https://ijnaa.semnan.ac.ir/article_123_1169f59625820a8120c88593579bcde9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
On invariant sets topology
31
36
EN
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran.
M.
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
10.22075/ijnaa.2014.124
In this paper, we introduce and study a new topology related to a self mapping on a nonempty set. Let $X$ be a nonempty set and let $f$ be a self mapping on $X$. Then the set of all invariant subsets of $X$ related to $f$, i.e. $tau_f := {Asubseteq X : f(A)subseteq A}subseteq mathcal{P}(X)$ is a topology on $X$. Among other things, we find the smallest open sets contains a point $xin X$. Moreover, we find the relations between $f$ and $tau_f$ . For instance, we find the conditions on $f$ to show that whenever $tau_f$ is $T_0, T_1$ or $T_2$.
Topological spaces,Separation axioms,fixed point theorems
https://ijnaa.semnan.ac.ir/article_124.html
https://ijnaa.semnan.ac.ir/article_124_5a349c59eb163ba27e34e1903588d147.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Weights in block iterative methods
37
49
EN
T.
Nikazad
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
M.
Abbasi
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
10.22075/ijnaa.2014.125
In this paper we introduce a sequential block iterative method and its simultaneous version with optimal combination of weights (instead of convex combination) for solving convex feasibility problems. When the intersection of the given family of convex sets is nonempty, it is shown that any sequence generated by the given algorithms converges to a feasible point. Additionally for linear feasibility problems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarz methods explaining the optimal weights have been inherently used in Kaczmarz methods. In addition, a convergence result is presented for simultaneous block Kaczmarz for the case of inconsistent linear system of equations.
block iterative methods,convex feasibility problem,Kaczmarz's method
https://ijnaa.semnan.ac.ir/article_125.html
https://ijnaa.semnan.ac.ir/article_125_9adafe7b3a76d7094dc7be2c82478b76.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Fixed points for Banach and Kannan contractions in modular spaces with a graph
50
59
EN
A.
Aghanians
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
K.
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
10.22075/ijnaa.2014.126
In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan contractions defined on modular spaces endowed with a graph. We do not impose the $Delta_2$-condition or the Fatou property on the modular spaces to give generalizations of some recent results. The given results play as a modular version of metric fixed point results.
Complete modular space,Fixed point,Banach contraction,Kannan contraction
https://ijnaa.semnan.ac.ir/article_126.html
https://ijnaa.semnan.ac.ir/article_126_f0449e8d71496c26173bc1b9c622400b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
60
66
EN
A.
Cheraghi
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
10.22075/ijnaa.2014.127
In a multi-secret sharing scheme, several secret values are distributed among a set of n participants. In 2000 Chien et al.'s proposed a $(t, n)$ multi-secret sharing scheme. Many storages and public values required in Chien's scheme. Motivated by these concerns, some new $(t, n)$ multi-secret sharing schemes are proposed in this paper based on the Lagrange interpolation formula for polynomials and cipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction and require fewer number of public values and storages than Chien's scheme. Also our schemes don't need any one-way function and any simultaneous equations.
Multi-secret sharing,Lagrange interpolation,Cipher feedback mode
https://ijnaa.semnan.ac.ir/article_127.html
https://ijnaa.semnan.ac.ir/article_127_7e50439b69b888cd774502e1936b9d13.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
An equivalent representation for weighted supremum norm on the upper half-plane
67
79
EN
M.A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175
Sanandaj, Iran.
10.22075/ijnaa.2014.128
In this paper, firstly, we obtain some inequalities which estimates complex polynomials on the circles. Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates for the lines in upper half-plane. Finally, for an increasing weight $v$ on the upper half-plane with certain properties and holomorphic functions f on the upper half-plane we obtain an equivalent representation for weighted supremum norm.
weighted spaces,holomorphic functions,de-la-Valle Poussion kernel,upper half-plane
https://ijnaa.semnan.ac.ir/article_128.html
https://ijnaa.semnan.ac.ir/article_128_293401779d9e769952a5e75f14868c3b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
New results on the quasi-commuting inverses
80
85
EN
M.
Nikuie
aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
A.
Zohri
Payame Noor University, IRAN.
M.K.
Mirnia
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
10.22075/ijnaa.2014.129
A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly independent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular. In this paper, some results on the Quasi-commuting inverses, are given and the effect of them in solving the case of linear system of equations where the coefficient matrix is a singular matrix, is illustrated.
Index of matrix,Generalized inverse,Singular linear system,Quasi-commuting inverses
https://ijnaa.semnan.ac.ir/article_129.html
https://ijnaa.semnan.ac.ir/article_129_9e02585d526696dbca90a6e2bb9c5518.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Generalization of Darbo's fixed point theorem and application
86
95
EN
A.
Aghajani
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
M.
Aliaskari
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
10.22075/ijnaa.2014.140
In this paper, an attempt is made to present an extension of Darbo's theorem, and its application to study the solvability of a functional integral equation of Volterra type.
Fixed point theorem,Measure of noncompactness,Darbo’s fixed point theorem
https://ijnaa.semnan.ac.ir/article_140.html
https://ijnaa.semnan.ac.ir/article_140_88eaee7203e785d9ef9c30e05d897266.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces
96
103
EN
S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
10.22075/ijnaa.2014.141
In this paper, coupled fixed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotone mappings instead mappings with mixed monotone property. Also, an example is given to support these improvements.
Coupled fixed point,uniqueness of the coupled fixed point,monotone mappings,partially ordered set
https://ijnaa.semnan.ac.ir/article_141.html
https://ijnaa.semnan.ac.ir/article_141_1aca36ab86878fac5faae39be2dc9758.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Coincident point and fixed point results for three self mappings in cone metric spaces
104
110
EN
A.K.
Dubey
Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India
U.
Mishra
Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur (Chhattisgarh), India
10.22075/ijnaa.2014.142
In this attempt we proved results on points of coincidence and common fixed points for three self mappings satisfying generalized contractive type conditions in cone metric spaces. Our results generalizes some previous known results in the literature (eg. [5], [6])
IT-Commuting Maps,Cone Metric Spaces,Coincident Point,Common fixed point
https://ijnaa.semnan.ac.ir/article_142.html
https://ijnaa.semnan.ac.ir/article_142_211d31a777db6153e5a1463bc4f22cf9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
111
122
EN
A.
Ebadian
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
R.
Aghalary
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
M.A.
Abolfathi
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
10.22075/ijnaa.2014.143
In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubic and quartic functional equations with constants coefficients in the sense of dectic mappings in non-Archimedean normed spaces.
Hyers-Ulam stability,non-Archimedean normed space,dectic functional equation,Fixed point method
https://ijnaa.semnan.ac.ir/article_143.html
https://ijnaa.semnan.ac.ir/article_143_eaea8736ac6cd08fae6a3ab3e40bf2fb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
5
2
2014
07
01
Multilinear forms which are products of linear forms
123
129
EN
A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece
10.22075/ijnaa.2014.144
The conditions under which, multilinear forms (the symmetric case and the non symmetric case), can be written as a product of linear forms, are considered. Also, we generalize a result due to S. Kurepa for 2n-functionals in a group G.
Multilinear forms,Symmetric m-linear form,Quartic functional,Hermitian form,homogeneous polynomial
https://ijnaa.semnan.ac.ir/article_144.html
https://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf