Best Proximity Points of Generalized Almost Ψ-Geraghty Contractive Non-Self
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Top 10%
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Top 10%
Abstract
In this paper, we introduce the new notion of almost psi-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Aydi, Hassen/0000-0003-4606-7211; , Hassen/0000-0003-3896-3809
Keywords
fixed point, metric space, best proximity point, generalized almost psi-Geraghty contractions, Applied Mathematics, Geometry and Topology, fixed point, Fixed-point and coincidence theorems (topological aspects), metric space, best proximity point, Complete metric spaces, generalized almost \(\psi\)-Geraghty contractions, Special maps on metric spaces
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
11
Source
Fixed Point Theory and Applications
Volume
2014
Issue
Start Page
End Page
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CrossRef : 6
Scopus : 23
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Mendeley Readers : 8
SCOPUS™ Citations
23
checked on Feb 08, 2026
Web of Science™ Citations
21
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Page Views
2
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