فهرست مطالب
Journal of Hyperstructures
Volume:4 Issue: 2, Summer and Autumn 2015
- تاریخ انتشار: 1394/10/30
- تعداد عناوین: 7
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Pages 93-116In 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.Keywords: fuzzy soft semiring, fuzzy soft ideal, fuzzy soft k−ideal over semiring, fuzzy soft semiring homomorphism
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Pages 117-125In 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.Keywords: Krasner hyperring, Clean hyperring, Strong regular relation
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Pages 126-135In 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).Keywords: Boolean like rings, Skew Boolean module, sub Skew Boolean module, Linear homomorphisms
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Pages 136-141We 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.Keywords: Banach operator pair, Coincidence point, Common xed point, Convex metric space, Fixed point, Weakly compatible pair
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Pages 142-155In 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.Keywords: Arens regularity, bilinear mapping, topological center, module action, factorization, weakly compact
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Pages 156-169In 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.Keywords: Sumudu transform, Diusion, wave equation, Caputo fractional derivative, Mittag, Leer function
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Pages 170-183This 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.Keywords: p, Kirichho problem, Symmetric Mountain Pass theorem, fountain theorem, hemivariational inequality