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  • Research Article
  • Open Access

On the Weak Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications20102010:189751

https://doi.org/10.1155/2010/189751

  • Received: 23 March 2010
  • Accepted: 20 May 2010
  • Published:

Abstract

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 .

Keywords

  • Banach Space
  • Differential Geometry
  • Nonexpansive Mapping
  • Computational Biology
  • Full Article

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Authors’ Affiliations

(1)
Department of Mathematics, Hebei North University, Zhangjiakou, 075000, China
(2)
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

Copyright

© 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.

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