A Class of nonlinear $(A,eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory

Abstract

A new class of nonlinear set-valued variational<br />inclusions involving $(A,eta)$-monotone mappings in a Banach<br />space setting is introduced, and then based on the generalized<br />resolvent operator technique associated with<br />$(A,eta)$-monotonicity, the existence and approximation<br />solvability of solutions using an iterative algorithm and fixed<br />pint theory is investigated.