On Weakly (<i>c</I>, Ψ, Φ)-Contractive Mappings in Ordered Partial Metric Spaces

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2012

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Hindawi Publishing Corporation

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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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We introduce the notion of weakly (C, psi, phi)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Shatanawi, Wasfi/0000-0001-7492-4933
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KARAPINAR, ERDAL ORCID logo
Shatanawi, Wasfi ORCID logo

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https://doi.org/10.1155/2012/495892
 https://hdl.handle.net/20.500.14411/1409

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