Approximation solvability of a class of nonlinear set-valued variational inclusions involving (A,η)-monotone mappings

A new class of nonlinear set-valued variational inclusions involving (A,η)-monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm is investigated.