in this paper, the notion of fuzzy n-polygroups (fn -polygroups) is introduced and some related properties are investigated. in this regards, the concepts of normal  f-subpolygroups and homomorphisms of fn-polygroups are adopted. also, the quotient of fn-polygroups by defining regular relations are studied. finally, the classical isomorphism theorems of groups are generalized to fn-polygroups p...

A subset of R d with nite positive Lebesgue measure is called a spectral set if there exists a subset R such that E := n e i2h;xi : 2 o form an orthogonal basis of L 2 ((). The set is called a spectrum of the set. The Spectral Set Conjecture states that is a spectral set if and only if tiles R d by translation. In this paper we prove the Spectral Set Conjecture for a class of sets R. Speciicall...

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...