Sensitivity analysis for generalized nonlinear parametric [formula omitted]-maximal monotone operator inclusion systems with relaxed cocoercive type operators

Abstract

By using Lim’s inequalities, Nadler’s results, the new parametric resolvent operator technique associated with ( A , η , m ) -maximal monotone operators, in this paper, the existence theorem for a new class of generalized nonlinear parametric ( A , η , m ) -maximal monotone operator inclusion systems with relaxed cocoercive type operators in Hilbert spaces is analyzed and established. Our results generalize sensitivity analysis results of other recent works on strongly monotone quasi-variational inclusions, nonlinear implicit quasi-variational inclusions and nonlinear mixed quasi-variational inclusion systems in Hilbert spaces.