Stability of nonlinear evolutionary systems driven by set-valued mixed variational inequalities
Chunyan Yang, Wei Li, Shiqing Zhang, Salihah Alwadani · Applicable Analysis · 2024
This paper is devoted to studing the system consisting of a nonlinear evolutionary equation and a set-valued mixed variational inequality(EESMVI) on real Banach spaces. We prove the existence and uniqueness of mild solutions for the EESMVI and establish closedness, upper semicontinuity and continuity of the mild solution set mapping for the EESMVI when the mapping and the constraint set in set-valued mixed variational inequality are perturbed by different parameters.