Sensitivity analysis for a parametric generalized variational-like inequality problem: a P-η-proximal mapping approach

Abstract

In this paper, using P-η-proximal mapping, we study the existence and sensitivity analysis of solution of a parametric generalized variational-like inequality problem in uniformly smooth Banach space. The approach used in this paper may be treated as an extension and unification of approaches for studying sensitivity analysis of solution for various important classes of variational inequalities (inclusions) given by many authors, see for example [2-7,9-11,13-16,18,19].