TRIPLED BEST PROXIMITY POINT THEOREM IN METRIC SPACES

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2013

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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

The purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in metric spaces and give illustrative examples of our theorems.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Kumam, Poom/0000-0002-5463-4581; Sintunavarat, Wutiphol/0000-0002-0932-1332
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KARAPINAR, ERDAL ORCID logo
Kumam, Poom ORCID logo
Sintunavarat, Wutiphol ORCID logo

Keywords

Tripled fixed point, tripled Common Fixed Point, tripled best proximity point

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Q2

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Q2

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Volume

16

Issue

4

Start Page

1197

End Page

1216

URI

https://doi.org/10.7153/mia-16-93
 https://hdl.handle.net/20.500.14411/415

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