Best Proximity Point Results in Dislocated Metric Spaces Via <i>r</I>-functions

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2018

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Springer-verlag Italia Srl

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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 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.

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KARAPINAR, ERDAL/0000-0002-6798-3254
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KARAPINAR, ERDAL ORCID logo

Keywords

Dislocated metric space, Fixed point, alpha-admissible, Contractive mapping

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Volume

112

Issue

4

Start Page

1391

End Page

1407

URI

https://doi.org/10.1007/s13398-017-0431-6
 https://hdl.handle.net/20.500.14411/2662

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