University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces
95
104
EN
A.
A.
Mogbademu
Department of Mathematics, University of Lagos, Akoka- Nigeria
amogbademu@unilag.edu.ng
In this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.
Fixed point iteration schemes,Uniformly L-Lipschitzian
asymptotically pseudocontractive mappings,Banach spaces, nearly
uniformly L−Lipschitzian mappings
http://cjms.journals.umz.ac.ir/article_655.html
http://cjms.journals.umz.ac.ir/article_655_76c24089a05b2be60094f6035c55704f.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
k-TUPLE DOMATIC IN GRAPHS
105
112
EN
A. P.
Kazemi
Department of Mathematics, University of Mohaghegh Ardabili
adelpkazemi@yahoo.com
For every positive integer k, a set S of vertices in a graph G = (V;E) is a k- tuple dominating set of G if every vertex of V -S is adjacent to at least k vertices and every vertex of S is adjacent to at least k - 1 vertices in S. The minimum cardinality of a k-tuple dominating set of G is the k-tuple domination number of G. When k = 1, a k-tuple domination number is the well-studied domination number. We define the k-tuple domatic number of G as the largest number of sets in a partition of V into k-tuple dominating sets. Recall that when k = 1, a k-tuple domatic number is the well-studied domatic number. In this work, we derive basic properties and bounds for the k-tuple domatic number.
k-tuple dominating set,k-tuple domination number,k-
tuple domatic number
http://cjms.journals.umz.ac.ir/article_450.html
http://cjms.journals.umz.ac.ir/article_450_376603f729effe72173d9d24b2684890.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
A computational method for nonlinear mixed Volterra-Fredholm integral equations
113
123
EN
F.
Mirzaee
Department of Mathematics, Faculty of Science, Malayer University,
Malayer, 65719-95863, Iran f.mirzaee@malayeru.ac.ir
mirzaee@mail.iust.ac.ir
E.
Hadadiyan
University of Malayer
elham_hadadiyan@yahoo.com
In this article the nonlinear mixed Volterra-Fredholm integral equations are investigated by means of the modied three-dimensional block-pulse functions (M3D-BFs). This method converts the nonlinear mixed Volterra-Fredholm integral equations into a nonlinear system of algebraic equations. The illustrative examples are provided to demonstrate the applicability and simplicity of our scheme.
Nonlinear mixed Volterra-Fredholm integral equations,Blockpulse
functions,Operational matrix,Orthogonal functions
http://cjms.journals.umz.ac.ir/article_288.html
http://cjms.journals.umz.ac.ir/article_288_2820203d6f10754debd34e7621d12755.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION
125
136
EN
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University,
Arak, 38156-8-8349, Iran
sirousmoradi@gmail.com
E.
A.
Audegani
Department of Mathematics, Faculty of Science, Arak University,
Arak, 38156-8-8349, Iran
e_analoei@ymail.com
e_analoei@ymail.com
n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results as well as ´Ciri´c results. An example is given to support the usability of our results.
Metric Space,Common fixed point,Contractive mapping,Weakly compatible
http://cjms.journals.umz.ac.ir/article_503.html
http://cjms.journals.umz.ac.ir/article_503_3c18148647e1a0b5947fe546c01d98ba.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
Some new results on semi fully fuzzy linear programming problems
137
146
EN
S.H.
Nasseri
Department of Mathematics, University of Mazandaran, Babolsar, Iran
nasseri@umz.ac.ir
R.
Chameh
Department of Mathematics, University of Mazandaran, Babolsar,
Iran
E.
Behmanesh
Department of Mathematics, University of Mazandaran, Babolsar, Iran
There are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal fuzzy numbers. The first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. The second method, named as fuzzy dual simplex method, assumes an initial dual basic feasible solution is at hand. In this paper, the shortcomings of these methods are pointed out and to overcome these shortcomings, a new method is proposed to determine the fuzzy optimal solution of such fuzzy problems. The advantages of the proposed method over existing methods are discussed. To illustrate the proposed method a numerical example is solved by using the proposed method and the obtained results are discussed.
Linear programming,symmetric trapezoidal fuzzy number,fuzzy primal simplex
method,fuzzy dual simplex method
http://cjms.journals.umz.ac.ir/article_500.html
http://cjms.journals.umz.ac.ir/article_500_578726577f8f436f949306a7b938952a.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
Periodicity in a System of Differential Equations with Finite Delay
147
157
EN
E.
Yankson
Department of Mathematics and Statistics, University of Cape Coast,Ghana
ernestoyank@yahoo.com
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
Fixed point,Fundamental matrix solution,Floquet theory,periodic solution
http://cjms.journals.umz.ac.ir/article_658.html
http://cjms.journals.umz.ac.ir/article_658_4d02ab71d2872a3389d4369a8ea9c7e8.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
Existence of a positive solution for a p-Laplacian equation with singular nonlinearities
159
166
EN
S.
Khademloo
Faculty of Basic Sciences,
Babol University of Technology, Babol, Iran
s.khademloo@nit.ac.ir
F.
Yosefzade
Faculty of Basic Sciences, Babol University of Technology, Babol,
Iran
In this paper, we study a class of boundary value problem involving the p-Laplacian oprator and singular nonlinearities. We analyze the existence a critical parameter $lambda^{ast}$ such that the problem has least one solution for $lambdain(0,lambda^{ast})$ and no solution for $lambda>lambda^{ast}.$ We find lower bounds of critical parameter $lambda^{ast}$. We use the method of sub-supersolution to establish our results.
singular nonlinearities,positive solution,
sub-supersolution
http://cjms.journals.umz.ac.ir/article_490.html
http://cjms.journals.umz.ac.ir/article_490_661cd2f3c780220f654c7a68ceaafb6f.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2
2
2014
12
31
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
167
184
EN
X.
Yang
Department of Mathematics, Guangdong Police College, China
xiaohui_yang@sohu.com
Y.
liu
Guangdong University of Business Studies, China
liuyuji888@sohu.com
X.
Liu
Department of Mathematics, Shaoyang University, China
liuxingyuan999@sohu.com
Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
solution,multi-order fractional differential equation,Sturm-Liouville
boundary value problems,fixed-point theorem
http://cjms.journals.umz.ac.ir/article_435.html
http://cjms.journals.umz.ac.ir/article_435_54bda2f84c160c2a5d99ecfced9602e3.pdf