Peer-Reviewed Article November 30, 2012
A best proximity point theorem for Geraghty-contractions
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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
Abstract
Abstract The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for Geraghty-contractions. Our paper provides an extension of a result due to Geraghty (Proc. Am. Math. Soc. 40:604-608, 1973).