Open Access

On the Weak Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications20102010:189751

DOI: 10.1155/2010/189751

Received: 23 March 2010

Accepted: 20 May 2010

Published: 14 June 2010


In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansive mappings in Banach space and .

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Authors’ Affiliations

Department of Mathematics, Hebei North University
Department of Mathematics, Tianjin Polytechnic University


© Y. Xu and Y. Su. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.