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A Best Proximity Point Result in Modular Spaces with the Fatou Property
2013
Abstract and Applied Analysis
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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.
doi:10.1155/2013/329451
fatcat:sscsanduxbfqbp5pnt7i42vagu