Iterative approximation of a solution of a general variational-like inclusion in Banach spaces

摘要

We introduce a class ofη-accretive mappings in a real Banach space and show that theη-proximal point mapping forη-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involvingη-accretive mappings in real Banach space, and discuss its convergence criteria. The class ofη-accretive mappings includes several important classes of operators that have been studied by various authors.