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

Mohamed Jleli, Erdal Karapınar and Bessem Samet

Abstract and Applied Analysis, 2013, vol. 2013, 1-4

Abstract:

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, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:329451

DOI: 10.1155/2013/329451

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