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

Authors

Department of Mathematics, University of Mazandaran, Babolsar, Iran.

Abstract

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

Keywords