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

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

doi:http://doi.org/10.1186/s13663-015-0413-3

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Open access

Authors

Kong, D.

Liu, Lishan

Wu, Yong Hong

Date

2015

Type

Journal Article

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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.

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

URI

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

DOI

http://doi.org/10.1186/s13663-015-0413-3

Department

Department of Mathematics and Statistics

Remarks

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

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