INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS
Year:2017 | Volume:9 | Issue:3|Papers Count:7

This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset K of a reexive Banach space X. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when K is compact convex subsets. Finally, we enhance the main results by the application of some differential inclusions.

In this paper, we study the separtion axioms T 0, T 1, T 2 and T 5/2 on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number a, there exists at least one nontrivial Hausdor topological residuated lattice of cardinality a. In the follows, we obtain some conditions on (semi) topological residuated lattices under which this spaces will convert into regular and normal spaces.Finally by using of regularity and normality, we convert (semi) topological residuated lattices into metrizable topological residuated lattices.

In this paper, the concept of pseudoconvexity and quasiconvexity for continuous -time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the solution sets of a single-valued continuous-time programming problem are obtained.

In this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are shown.

In this paper an coupled Burgers' equation is considered and then a method entitled interval finite-difference method is introduced to find the approximate interval solution of interval model in level wise cases. Finally for more illustration, the convergence theorem is confirmed and a numerical example is solved.

Let R be a commutative ring with identity and M be an unitary R -module. The intersection graph of an R -module M, denoted by  G (M), is a simple graph whose vertices are all non-trivial submodules ofM and two distinct vertices N 1 and N 2 are adjacent if and only if N 1 ÇN 2 ¹0. In this article, we investigate the concept of a planar intersection graph and maximal submodules of an R -module. In particular, we show that if G (M) is a planar graph, then M @M1 ÅM 2 for a multiplication R -module Mwith |Max (M)|¹1.

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are valid.