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

oleh: C. E. Chidume, K. R. Kazmi, H. Zegeye

Format: Article
Diterbitkan: Hindawi Limited 2004-01-01

Deskripsi

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.