A Best Proximity Point Result in Modular Spaces with the Fatou Property

Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings,...

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Bibliographic Details
Main Authors: Mohamed Jleli, Erdal Karapınar, Bessem Samet
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/329451