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

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-...

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Bibliographic Details
Main Authors: Kong, D., Liu, Lishan, Wu, Yong Hong
Format: Journal Article
Published: Springer International Publishing 2015
Online Access:http://hdl.handle.net/20.500.11937/10356