Quadruple Fixed Point Theorems for Nonlinear Contractions on Partial Metric Spaces

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2014

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Univ Politecnica Valencia, Editorial Upv

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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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The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Tas, Kenan/0000-0001-8173-453X;
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KARAPINAR, ERDAL ORCID logo
Tas, Kenan ORCID logo

Keywords

Fixed point theorems, Nonlinear contraction, Partial metric space, Partially ordered set, Quadruple Fixed Point

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15

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1

Start Page

11

End Page

24

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https://doi.org/10.4995/agt.2014.2032
 https://hdl.handle.net/20.500.14411/141

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