An approach to best proximity points results via simulation functions

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2017

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Springer Basel Ag

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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

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Citation

59

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Volume

19

Issue

3

Start Page

1983

End Page

1995

URI

https://doi.org/10.1007/s11784-016-0380-2
 https://hdl.handle.net/20.500.14411/2899

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