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2013 Existence and Convergence Theorems of Best Proximity Points
Moosa Gabeleh, Naseer Shahzad
J. Appl. Math. 2013(SI21): 1-6 (2013). DOI: 10.1155/2013/101439


The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.


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Moosa Gabeleh. Naseer Shahzad. "Existence and Convergence Theorems of Best Proximity Points." J. Appl. Math. 2013 (SI21) 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.47076
MathSciNet: MR3064922
Digital Object Identifier: 10.1155/2013/101439

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI21 • 2013
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