On Common Best Proximity Points for Generalized Α - Ψ-Proximal Contractions

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2016

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int Scientific Research Publications

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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

We establish some common best proximity point results for generalized alpha - psi-proximal contractive non -self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph. (C) 2016 All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Felhi, Abdelbasset/0000-0002-2552-5431; , Hassen/0000-0003-3896-3809
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KARAPINAR, ERDAL ORCID logo
Aydi, Hassen ORCID logo
Felhi, Abdelbasset ORCID logo
, Hassen ORCID logo

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Common best proximity point, common fixed point, alpha - psi-proximal contraction

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9

Issue

5

Start Page

2658

End Page

2670

URI

https://doi.org/10.22436/jnsa.009.05.62
 https://hdl.handle.net/20.500.14411/545

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