Generalized Vector Mixed Variational-Like Inequality Problem Without Monotonicity

Suhel Ahmad Khan, Qamrul Haque Khan, Farhat Suhel

Abstract

In this paper, L(X, Y )-diagonally convex mapping and two kinds of -f-complete semicontinuous mappings are introduced. Further, we studied the solvability for a class of generalized vector mixed variational-like inequality problem in reflexive Banach spaces by using Brouwer’s fixed point theorem. The results presented in this paper are extensions and improvements of some earlier and recent results in the literature.