New Resolvent Operator Technique for A Class of General (A, η) Accretive Equations in Banach Spaces*

In this paper, by using the concept of (A, η)accretive mappings and the new resolvent operators associated with (A, η)accretive mappings due to Lan et al., we construct some new iterative algorithms to approximate the solutions of a new class of relaxed cocoercive variational inclusion problems involving (A, η)accretive mappings with nonaccretive setvalued mappings. we also prove the existence of solutions and the convergence of the sequences generated by the algorithms in quniformly smooth Banach spaces.