Well-posedness for generalized $(\eta ,g,\varphi )$-mixed vector variational-type inequality and optimization problems

Abstract

The purpose of this paper is to focus on the well-posedness for a generalized (η, g, ϕ)-mixed vector variational-type inequality and optimization problems with a constraint. We establish a metric characterization of well-posedness in terms of an approximate solution set. Also we prove that well-posedness of optimization problem is closely related to that of generalized (η, g, ϕ)-mixed vector variational-type inequality problems.