Vector mixed quasi complementarity problems in Banach spaces

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Abstract

In this paper, we introduce a new class of set-valued vector implicit quasi complementarity problems with corresponding set-valued implicit quasi variational inequality problems. By means of the Fan–KKM theorem, we investigate the nonemptiness and compactness of solution sets of these problems. Our work generalizes and improves some results appeared recently in the literature.

Keywords

Convex cone
Quasi complementarity problem
Process mapping

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