GENERALIZED NONLINEAR VARIATIONAL INCLUSION SYSTEMS INVOLVING COCOERCIVELY MONOTONE MAPPINGS

Abstract

Using the notion of the H-monotonicity (also referred to as H-maximal monotonicity in literature), the solvability of a system of nonlinear variational inclusion problems involving cocoercively monotone mappings (that unifies most of the existing notions relating to the strong monotonicity and beyond) based on the resolvent operator technique is explored. The obtained results are general in nature.