Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces
He Xiu · 2007
Strict feasibility is proved to be an equivalent characterization of (dual) variational in- equalities having a nonempty bounded solution set,provided the mappings involved are stably properly quasimonotone.This generalizes an earlier result from finite-dimensional Euclidean spaces to infinite- dimensional reflexive Banach spaces.Moreover,the monotonicity-type assumptions are also mildly relaxed.