MATHEMATICAL SCIENCES
Year:2012 | Volume:6 | Issue:-|Papers Count:7

Purpose: The purpose of this paper is to study the geometric properties of naturally reductive homogeneous Randers spaces.Methods: We use Lie theory methods in the study of Finsler geometry.Results: We first prove that if a Randers metric is naturally reductive, then the underlying Riemannian metric is naturally reductive. Then, we show that, for Berwald type Randers metric, if the underlying Riemannian metric is naturally reductive, then the Randers metric is naturally reductive. Finally, we give a geometric criterion of homogeneous naturally reductive Randers spaces.Conclusions: This paper provides a convenient method to construct naturally reductive Randers metric on homogeneous Riemannian manifolds.

Recently, Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of L-statistical convergence and L-statistical Cauchy sequences in random 2-normed spaces , where  l=(lm) be a non-decreasing sequence of positive numbers tending to infinity such thatlm+1£lm + 1, l1=1 and prove some theorems. In last section we will give the definition of the L-limit and cluster points and we will show their relation between those classes.

Non-classical logic has become a considerable formal tool for computer science on computational intelligence to deal with fuzzy information and uncertain information. BCI-algebras and BCK-algebras are two classes of non-classical logic algebras that are introduced by Iseki in 1966 and they are algebraic formulations of BCK and BCI-system in logic algebras. Lele used the notion of fuzzy point to study some properties of BCI-algebras. Jun and Lele used the notion of fuzzy points for establishing quasi q-ideal in the set of all fuzzy points of a fixed BCI-algebras and give some characterizations of these ideals.    

Purpose: In this article, we establish the exact solutions for the combined KdV-mKdV and Gardner-KP equations.Methods: The Exp-function method (EFM) is used to construct solitary and soliton solutions of nonlinear evolution equations.Results: This method is developed for searching the exact travelling wave solutions of nonlinear partial differential equations.Conclusions: It is shown that the EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

In this paper, we define soft exterior and study its basic properties. We establish several important results relating soft interior, soft exterior, soft closure, and soft boundary in soft topological spaces. Moreover, we characterize soft open sets, soft closed sets, and soft clopen sets via soft boundary. All these findings will provide a base to researchers who want to work in the field of soft topology and will help to establish a general framework for applications in practical fields.

Purpose: The purpose of this paper is to introduce several notions, such as soft topological soft groups, soft topological soft normal subgroups, and soft topological soft factor groups, and to study their properties.Methods: We have adopted the analytical method.Results: We have studied properties of soft topological soft groups, soft subgroups, soft normal subgroups, soft factor groups, and soft homomorphisms.Conclusions: The fundamental homomorphism theorem is extended in a soft topological soft group setting.

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