Generalized systems of variational inclusions involving (A,η)-monotone mappings

Abstract

In this paper, we introduce a generalized system of nonlinear relaxed cocoercive variational inclusions involving $(A,\eta)$-monotone mappings in the framework of real Hilbert spaces. Based on the generalized resolvent operator technique associated with (A,\eta)$-monotonicity, we consider the approximation solvability of solutions.