Sensitivity analysis for a parametric generalized multi-valued implicit quasi-variational-like inclusion

Abstract

In this paper, using proximal-point mapping technique and the property of a fixed-point set of multi-valued contractive mapping, we study the behavior and sensitivity analysis of a solution set for a parametric generalized multi-valued implicit quasi-variational-like inclusion in real Hilbert space. Further, under some suitable conditions, we discuss the Lipschitz continuity of the solution set with respect to the parameter. Our results can be viewed as a refinement and improvement of some known results in the literature.