Quadruple Fixed Point Theorems for Nonlinear Contractions

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2012

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Pergamon-elsevier Science Ltd

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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

The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. (c) 2012 Elsevier Ltd. All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Nguyen, Luong/0000-0002-5784-5552
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KARAPINAR, ERDAL ORCID logo
Nguyen, Luong ORCID logo

Keywords

Fixed point theorems, Nonlinear contraction, Partially ordered, Quadruple fixed point

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Volume

64

Issue

6

Start Page

1839

End Page

1848

URI

https://doi.org/10.1016/j.camwa.2012.02.061
 https://hdl.handle.net/20.500.14411/333

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