An Approach To Best Proximity Points Results Via Simulation Functions
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
In this paper, we investigate of the existence of the best proximity points of certain mapping defined via simulation functions in the frame of complete metric spaces. We consider the uniqueness criteria for such mappings. The obtained results unify a number of the existing results on the topic in the literature.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; khojasteh, farhsid/0000-0002-3479-7674; Khojasteh, Farshid/0000-0002-9300-8487
Keywords
Z-contraction, best proximity point, simulation function, admissible mapping, simulation function, admissible mapping, Fixed-point and coincidence theorems (topological aspects), best proximity point, Complete metric spaces, Special maps on metric spaces, \(\mathcal {Z}\)-contraction
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q3
OpenCitations Citation Count
40
Source
Journal of Fixed Point Theory and Applications
Volume
19
Issue
3
Start Page
1983
End Page
1995
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CrossRef : 7
Scopus : 71
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Mendeley Readers : 2
SCOPUS™ Citations
71
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Web of Science™ Citations
69
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4
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