Tripled coincidence fixed point results for Boyd-Wong and Matkowski type contractions

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2013

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Springer-verlag Italia Srl

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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 establish tripled coincidence and common tripled fixed point theorems of Boyd-Wong and Matkowski type contractions. The presented theorems generalize and extend several well known comparable results in the literature, in particular the results of Samet and Vetro (for tripled case) [Ann Funct Anal 1(2):46-56, 2010]. We illustrate our obtained results by some examples.

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Aydi, Hassen/0000-0003-4606-7211; Radenovic, Stojan/0000-0001-8254-6688; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809

Keywords

W-compatible mappings, Tripled coincidence point, Common tripled fixed point, Boyd-Wong type contraction, Matkowski type contraction, Metric space

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Citation

20

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Q1

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Q1

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Volume

107

Issue

2

Start Page

339

End Page

353

URI

https://doi.org/10.1007/s13398-012-0077-3
 https://hdl.handle.net/20.500.14411/421

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