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

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2015
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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.

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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.
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Fixed Point Theory and Applications
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Department of Mathematics and Statistics
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This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

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