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Generalized vector variational like inequalities in fuzzy environment
Journal article   Peer reviewed

Generalized vector variational like inequalities in fuzzy environment

S.S. Chang, Salahuddin, M.K. Ahmad and X.R. Wang
Fuzzy sets and systems, Vol.265, pp.110-120
15/04/2015
DOI: https://doi.org/10.1016/j.fss.2014.04.004

Abstract

Fuzzy environment Fuzzy topological vector spaces Fuzzy upper semicontinuous mapping Generalized mixed vector variational inequality Generalized mixed vector variational like inequalities KKM-mapping
The purpose of this paper is to introduce and study a new class of generalized vector variational-like inequalities and generalized vector variational inequalities in fuzzy environment. By using the KKM-technique, Maximal Element Lemma and under suitable conditions, some existence theorems of solutions for these two kinds of vector variational inequalities in fuzzy environment are proved. The results presented in the paper extend and improve some recent results announced by some authors.

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