A New Class of Generalized Contraction Using <i>p</I>-functions in Ordered Metric Spaces

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2015

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Sciendo

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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 paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.

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

Keywords

P-function, P-contraction, metric space, partially ordered set

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Q3

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Q3

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Volume

23

Issue

2

Start Page

93

End Page

106

URI

https://doi.org/10.1515/auom-2015-0028
 https://hdl.handle.net/20.500.14411/732

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