Parametric generalized mixed multi-valued implicit quasi-variational inclusion problems

Abstract

In this paper, by using a resolvent operator technique of maximal monotone mappings and the property of afixed-point set ofmulti-valued contractivemapping, we studythe behavior andsensitivity analysisof a solution set for a parametric generalized mixed multi-valued implicit quasi-variational inclusion problem in Hilbert space. Further, under some suitable conditions, we discuss the Lipschitz continuity (or continuity) of the solution set with respect to the parameter. By exploiting the technique of this paper, one can generalize and improve many known results in the literature.