Journal of Hyperstructures
Volume:4 Issue: 2, Summer and Autumn 2015

In this paper, we introduce the notion of fuzzy soft semirings, fuzzy soft ideals, fuzzy soft k− ideals , k−fuzzy soft ideals over semiringsand fuzzy soft semiring homomorphism. We study some of their algebraical properties and properties of homomorphic image of fuzzy soft semiring.

In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R,,·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.

In this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(V,W)) and prove that (wHom(V,W)) is again a Skew Boolean module . Further We show that the set of all strongly linear homomorphisms (stHom(V,W)) is a sub Skew Boolean module of wHom(V,W).

We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.

In this paper, We establish some necessary and sufficient conditions for relationships between the topological centers of module actions and factorization properties of them and we give a new definition for multiplier in module actions with some results.

In this article, we have implemented Sumudu transform iteration method as a new approximate analytical technique for solving fractional diffusion-wave equations. The fractional derivative is described in the Caputo sense. The solution existence, uniqueness, stability and convergence of the proposed scheme is discussed. Finally, the validity and applicability of our approach is examined with the use of a solvable model method. The results presented here are in compact and elegant expressed in term of Mittag-Leffler function which are suitable for numerical computation.

This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a class of locally Lipschitz functional.