On Best Proximity Points Under the <i>p</I>-property on Partially Ordered Metric Spaces

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2013

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Hindawi Publishing Corp

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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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Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the P-property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the P-property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.

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Jleli, Mohamed/0000-0002-6095-5875; KARAPINAR, ERDAL/0000-0002-6798-3254; Samet, Bessem/0000-0002-6769-3417
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Jleli, Mohamed ORCID logo
KARAPINAR, ERDAL ORCID logo
Samet, Bessem ORCID logo

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https://doi.org/10.1155/2013/150970
 https://hdl.handle.net/20.500.14411/303

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