Iterative approximation of a solution of a general variational-like inclusion in Banach spaces-Reference-Cited by-同舟云学术

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

Published:2004 Issue:22 Volume:2004 Page:1159-1168
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Chidume C. E.¹,Kazmi K. R.¹²,Zegeye H.¹^ORCID

Affiliation:

1. The Abdus Salam International Centre for Theoretical Physics, Trieste 34100, Italy

2. Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

Abstract

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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2004/563278.pdf

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