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 areproved.
log-convex structure
http://ijnaa.semnan.ac.ir/article_120.html
http://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 () is stable if any function g satisfying the equation () approximatelyis near to true solution of (). Using xed point methods, we investigate approximately higherternary derivations in Banach ternary algebras via the Cauchy functional equationf(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :
higher ternary derivations
http://ijnaa.semnan.ac.ir/article_121.html
http://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 denition which is a natural combination of the denition forasymptotically double equivalent, double statistically limit and double 2 sequences. The doublesequence 2 = (m;n) of positive real numbers tending to innity such thatm+1;n m;n + 1; m;n+1 m;n + 1;m;n m+1;n m;n+1 m+1;n+1; 1;1 = 1;andIm;n = f(k; l) : m m;n + 1 k m; n m;n + 1 l ng :For double 2sequence; the two non-negative sequences x = (xk;l) and y = (yk;l) are said to be2asymptotically double statistical equivalent of multiple L provided that for every " > 0P limm;n1m;n(k; l) 2 Im;n :xk;lyk;l L "= 0(denoted by xSL2 v y) and simply 2asymptotically double statistical equivalent if L = 1.
http://ijnaa.semnan.ac.ir/article_122.html
http://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 nonlocalconditions. These results are obtained using Banach contraction xed point theorem. Other resultsare also presented using Krasnoselskii theorem.
http://ijnaa.semnan.ac.ir/article_123.html
http://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 ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For instance, we find the conditions on f to show that whenever f is T0, T1 or T2.
Topological spaces,Separation axioms,fixed point theorems
http://ijnaa.semnan.ac.ir/article_124.html
http://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 op-timal 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 sequencegenerated by the given algorithms converges to a feasible point. Additionally for linear feasibilityproblems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarzmethods explaining the optimal weights have been inherently used in Kaczmarz methods. In addi-tion, a convergence result is presented for simultaneous block Kaczmarz for the case of inconsistentlinear system of equations.
http://ijnaa.semnan.ac.ir/article_125.html
http://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 xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2-conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.
http://ijnaa.semnan.ac.ir/article_126.html
http://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 publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction andrequire fewer number of public values and storages than Chien's scheme. Also our schemes don'tneed any one-way function and any simultaneous equations.
http://ijnaa.semnan.ac.ir/article_127.html
http://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, rstly, 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 forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresentation for weighted supremum norm.
http://ijnaa.semnan.ac.ir/article_128.html
http://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, inother words, if its columns (or rows) are linearly independent. In recent years needs have been felt innumerous areas of applied mathematics for some kind of partial inverse of a matrix that is singularor even rectangular. In this paper, some results on the Quasi-commuting inverses, are given andthe eect of them in solving the case of linear system of equations where the coecient matrix is asingular matrix, is illustrated.
http://ijnaa.semnan.ac.ir/article_129.html
http://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 applicationto study the solvability of a functional integral equation of Volterra type.
http://ijnaa.semnan.ac.ir/article_140.html
http://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
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, Serbia.
10.22075/ijnaa.2014.141
In this paper, coupled xed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V.Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, NonlinearAnalysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotonemappings instead mappings with mixed monotone property. Also, an example is given to supportthese improvements.
http://ijnaa.semnan.ac.ir/article_141.html
http://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
aDepartment 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 xed points for three selfmappings satisfying generalized contractive type conditions in cone metric spaces. Our results gen-eralizes some previous known results in the literature (eg. [5], [6])
http://ijnaa.semnan.ac.ir/article_142.html
http://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, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in non-Archimedean normed spaces.
http://ijnaa.semnan.ac.ir/article_143.html
http://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.
http://ijnaa.semnan.ac.ir/article_144.html
http://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf