Best Proximity Point Results in Dislocated Metric Spaces Via <i>r</I>-functions
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Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer-verlag Italia Srl
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Average
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Top 10%
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Top 10%
Abstract
In this paper, we investigate the existence of best proximity of R-contractions in the frame of dislocated metric spaces. We also propose some conditions to guarantee the uniqueness of best proximity point for such contractions. We consider an illustrative example to support the given results. This result generalizes a number of recent results on the topic in the literature.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
Dislocated metric space, Fixed point, alpha-admissible, Contractive mapping, fixed point, Fixed-point and coincidence theorems (topological aspects), \(\alpha\)-admissible, contractive mapping, Special maps on metric spaces, dislocated metric space
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
10
Source
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Volume
112
Issue
4
Start Page
1391
End Page
1407
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Citations
CrossRef : 3
Scopus : 13
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Mendeley Readers : 2
SCOPUS™ Citations
13
checked on Feb 13, 2026
Web of Science™ Citations
13
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Page Views
7
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