Existence and stability of generalized weakly-mixed vector equilibrium problems
Journal of Nonlinear Functional Analysis · 2023
The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems.We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma.In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classification.