STABILITY ANALYSIS FOR GENERALIZED $f$-PROJECTION OPERATORS WITH AN APPLICATION

Abstract

In this paper, stability results for generalized $f$-projection operators with parametric perturbations are given in reflexive, smooth, and strictly convex Banach spaces. By using the stability of generalized $f$-projection operators and the degree theory for the generalized set-valued variational inequality introduced by Wang and Huang [30], the lower continuity of the solution mapping for the parametric generalized set-valued variational inequality is established under some suitable conditions.