On Best Proximity Point of Ψ-Geraghty Contractions
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Abstract
Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012: 231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduce the notion of psi-Geraghty contractions and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space. We state examples to illustrate our result.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
best proximity point, non-self mapping, partial order, metric space, fixed point, Cyclic-contraction, Generalized Cyclic Meir Keeler Contraction, Applied Mathematics, Geometry and Topology, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Fixed-point theorems, fixed point, Nonlinear programming, metric space, non-self mapping, partial order, best proximity point
Fields of Science
0101 mathematics, 01 natural sciences
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WoS Q
Scopus Q
OpenCitations Citation Count
24
Volume
2013
Issue
3
Start Page
558
End Page
569
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CrossRef : 8
Scopus : 43
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