Set valued exponential type g-mixed vector variational inequality problems

Abstract

Our aim in this paper is to study a new kind of existence of solution for set valued exponential type g-mixed vector variational inequality problems in Euclidean spaces and propose α g-relaxed exponentially (γ η)-monotone mapping. By using the KKMtechnic and Nadler's theorem with α g-relaxed exponentially (γ η)-monotone mapping, we prove an existence theorems of set valued exponential type g-mixed vector variational inequality problems.