Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
C.E. Chidume, K.R. Kazmi, Habtu Zegeye · International Journal of Mathematics and Mathematical Sciences · 2004
We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria. The class of η‐accretive mappings includes several important classes of operators that have been studied by various authors.