ORIGINAL_ARTICLE
Some fixed point theorems and common fixed point theorem in log-convex structure
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.
https://ijnaa.semnan.ac.ir/article_120_76bab3ef8574fc7a07676f8212c06a8e.pdf
2014-07-01
1
6
10.22075/ijnaa.2014.120
log-convex structure
A.R.
Moazzen
1
Department of Mathematics , Velayat University, Iranshahr, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
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) :
https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
2014-07-01
7
15
10.22075/ijnaa.2014.121
higher ternary derivations
S.A.R.
Hosseinioun
1
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
AUTHOR
R.
Farrokhzad
2
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
AUTHOR
M.
Eshaghi
3
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On lambda^2-asymptotically double statistical equivalent sequences
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.
https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
2014-07-01
16
21
10.22075/ijnaa.2014.122
A.
Esi
1
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey.
LEAD_AUTHOR
M.
Acikgoz
2
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
AUTHOR
ORIGINAL_ARTICLE
New results for fractional evolution equations using Banach fixed point theorem
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.
https://ijnaa.semnan.ac.ir/article_123_1169f59625820a8120c88593579bcde9.pdf
2014-07-01
22
30
10.22075/ijnaa.2014.123
Z.
Dahmani
1
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
LEAD_AUTHOR
S.
Belarbi
2
Faculty of Mathematics, USTHB of Algiers, Algeria.
AUTHOR
ORIGINAL_ARTICLE
On invariant sets topology
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.
https://ijnaa.semnan.ac.ir/article_124_5a349c59eb163ba27e34e1903588d147.pdf
2014-07-01
31
36
10.22075/ijnaa.2014.124
Topological spaces
Separation axioms
fixed point theorems
M.
Eshaghi Gordji
1
Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran.
LEAD_AUTHOR
M.
Rostamian Delavar
2
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
AUTHOR
ORIGINAL_ARTICLE
Weights in block iterative methods
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.
https://ijnaa.semnan.ac.ir/article_125_9adafe7b3a76d7094dc7be2c82478b76.pdf
2014-07-01
37
49
10.22075/ijnaa.2014.125
T.
Nikazad
1
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
LEAD_AUTHOR
M.
Abbasi
2
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
AUTHOR
ORIGINAL_ARTICLE
Fixed points for Banach and Kannan contractions in modular spaces with a graph
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.
https://ijnaa.semnan.ac.ir/article_126_f0449e8d71496c26173bc1b9c622400b.pdf
2014-07-01
50
59
10.22075/ijnaa.2014.126
A.
Aghanians
1
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
AUTHOR
K.
Nourouzi
2
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
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.
https://ijnaa.semnan.ac.ir/article_127_7e50439b69b888cd774502e1936b9d13.pdf
2014-07-01
60
66
10.22075/ijnaa.2014.127
A.
Cheraghi
1
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
An equivalent representation for weighted supremum norm on the upper half-plane
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.
https://ijnaa.semnan.ac.ir/article_128_293401779d9e769952a5e75f14868c3b.pdf
2014-07-01
67
79
10.22075/ijnaa.2014.128
M.A.
Ardalani
1
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
New results on the quasi-commuting inverses
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.
https://ijnaa.semnan.ac.ir/article_129_9e02585d526696dbca90a6e2bb9c5518.pdf
2014-07-01
80
85
10.22075/ijnaa.2014.129
M.
Nikuie
1
aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
LEAD_AUTHOR
A.
Zohri
2
Payame Noor University, IRAN.
AUTHOR
M.K.
Mirnia
3
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
AUTHOR
ORIGINAL_ARTICLE
Generalization of Darbo's fixed point theorem and application
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.
https://ijnaa.semnan.ac.ir/article_140_88eaee7203e785d9ef9c30e05d897266.pdf
2014-07-01
86
95
10.22075/ijnaa.2014.140
A.
Aghajani
1
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
LEAD_AUTHOR
M.
Aliaskari
2
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
AUTHOR
ORIGINAL_ARTICLE
Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces
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.
https://ijnaa.semnan.ac.ir/article_141_1aca36ab86878fac5faae39be2dc9758.pdf
2014-07-01
96
103
10.22075/ijnaa.2014.141
S.
Radenovic
1
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, Serbia.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Coincident point and fixed point results for three self mappings in cone metric spaces
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])
https://ijnaa.semnan.ac.ir/article_142_211d31a777db6153e5a1463bc4f22cf9.pdf
2014-07-01
104
110
10.22075/ijnaa.2014.142
A.K.
Dubey
1
aDepartment of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India
AUTHOR
U.
Mishra
2
Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur (Chhattisgarh), India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
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.
https://ijnaa.semnan.ac.ir/article_143_eaea8736ac6cd08fae6a3ab3e40bf2fb.pdf
2014-07-01
111
122
10.22075/ijnaa.2014.143
A.
Ebadian
1
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
LEAD_AUTHOR
R.
Aghalary
2
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
AUTHOR
M.A.
Abolfathi
3
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
AUTHOR
ORIGINAL_ARTICLE
Multilinear forms which are products of linear forms
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.
https://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf
2014-07-01
123
129
10.22075/ijnaa.2014.144
A.
Pappas
1
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece.
AUTHOR