A Best Proximity Point Result in Modular Spaces with the Fatou Property
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Date
2013
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Publisher
Hindawi Ltd
Abstract
Consider a nonself-mapping T: A -> B, where (A, B) is a pair of nonempty subsets of a modular space. X-rho. A best proximity point of T is a point z is an element of A satisfying the condition: rho(z - Tz) = inf {rho(x-y) : (x,y) is an element of A x 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.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; Jleli, Mohamed/0000-0002-6095-5875; Samet, Bessem/0000-0002-6769-3417
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Citation
14
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Q2