A COUPLED FIXED POINT RESULT IN PARTIALLY ORDERED PARTIAL METRIC SPACES THROUGH IMPLICIT FUNCTION

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Date

2013

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Hacettepe Univ, Fac Sci

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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 manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.

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Keywords

Coupled fixed point, Mixed monotone property, Implicit relation, Ordered partial metric space

Turkish CoHE Thesis Center URL

Citation

21

WoS Q

Q3

Scopus Q

Q3

Source

Volume

42

Issue

4

Start Page

347

End Page

357

URI

https://search.trdizin.gov.tr/en/yayin/detay/224270/a-coupled-fixed-point-result-in-partially-ordered-partial-metric-spaces-through-implicit-function
 https://hdl.handle.net/20.500.14411/8628

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