The structure of topological Gamma-semihypergroyps

Abstract

In this paper, we introduce the concept of topological Gamma- semihypergroups as a generalization of topological semihypergroups and topological semigroups and we present the new connection between topological Gamma-semihypergroups and topological semihypergroups by special equivalence relation. Moreover, we dene and consider quotient map and homomorphism of topological Gamma-semihypergroups.