Existence and Stability of Solutions for Generalized Quasi-variational Hemivariational Inequalities

Abstract

In this paper, we study a class of generalized quasi-variational hemivariational inequalities without multi-valued pseudomonotone operators in finite-dimensional Euclidean spaces. We establish an existence theorem of solutions for the generalized quasivariational hemivariational inequalities by using Kakutani-Fan-Glicksberg fixed point theorem. Moreover, we obtain a stability result for the generalized quasi-variational hemivariational inequalities under some suitable conditions.