Topological solutions of η-generalized vector variational-like inequality problems

Abstract

In this paper, we discuss several variants of the η-generalized vector variational-like inequality problem and provide existence theorems for their solutions via a topological approach. Several topological concepts like compactness, closedness, net theory and admissibility of function space topology are used for obtaining the main results. Finally, we give some topological properties of the solution set so obtained.