Abstract

The gap functions for generalized vector quasivariational inequalities in Hausdorff topological vector spaces are introduced, then using Fan–Knaster–Kuratowski–Mazurkiewicz (FKKM) theorem, some existence theorems for a class of generalized vector quasivariational inequalities under suitable assumptions are established. The obtained results extend and unify corresponding results in the literature.

Keywords

generalized vector quasivariational inequality, gap function, existence of solutions, FKKM theorem, set-valued mapping

Mathematical Subject Classification

Primary: 49J40

Secondary: 47H04

Authors