Best proximity point theorems for α-nonexpansive mappings in Banach spaces

Kong, D.; Liu, Lishan; Wu, Yong Hong

doi:10.1186/s13663-015-0413-3

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Access Status

Open access

Authors

Kong, D.

Liu, Lishan

Wu, Yong Hong

Date

2015

Type

Journal Article

Metadata

Show full item record

Citation

Kong, D. and Liu, L. and Wu, Y.H. 2015. Best proximity point theorems for α-nonexpansive mappings in Banach spaces. Fixed Point Theory and Applications. 2015: Article ID 159.

Source Title

Fixed Point Theory and Applications

DOI

10.1186/s13663-015-0413-3

ISSN

1687-1820

School

Department of Mathematics and Statistics

Remarks

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

URI

http://hdl.handle.net/20.500.11937/10356

Collection

Curtin Research Publications

Abstract

In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-nonexpansive mappings.