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2013 A Best Proximity Point Result in Modular Spaces with the Fatou Property
Mohamed Jleli, Erdal Karapınar, Bessem Samet
Abstr. Appl. Anal. 2013(SI57): 1-4 (2013). DOI: 10.1155/2013/329451

Abstract

Consider a nonself-mapping T : A B , where ( A , B ) is a pair of nonempty subsets of a modular space X ρ . A best proximity point of T is a point z A satisfying the condition: ρ ( z T z ) = inf { ρ ( x y ) : ( x , y ) A × B } . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.

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Mohamed Jleli. Erdal Karapınar. Bessem Samet. "A Best Proximity Point Result in Modular Spaces with the Fatou Property." Abstr. Appl. Anal. 2013 (SI57) 1 - 4, 2013. https://doi.org/10.1155/2013/329451

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1325.41019
MathSciNet: MR3108632
Digital Object Identifier: 10.1155/2013/329451

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI57 • 2013
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