An Approach To Best Proximity Points Results Via Simulation Functions

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Date

2017

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Volume Title

Publisher

Springer Basel Ag

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Green Open Access

No

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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

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Fields of Science

0101 mathematics, 01 natural sciences

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Q1

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OpenCitations Citation Count
38

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 : 70

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70

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69

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4

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9

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