SENSITIVITY ANALYSIS FOR A PARAMETRIC GENERALIZED MIXED MULTI-VALUED IMPLICIT QUASI-VARIATIONAL INCLUSION

In this paper, by using a resolvent operator technique of maximal monotone mappings 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 mixed multi-valued implicit quasi-variational inclusion in a real Hilbert space. Further, under some suitable conditions, we discuss the continuity and Lipschitz continuity of the solution set with respect to the parameter. Our approach and results extend, improve and unify the previously many known results in this field.