A short note on the common fixed points of the Geraghty contraction of type <i>E<sub>S</sub></i><sub>,<i>T</i></sub>

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Date

2018

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de Gruyter Poland Sp Zoo

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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 propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.

Description

Fulga, Andreea/0000-0002-6689-0355; KARAPINAR, ERDAL/0000-0002-6798-3254

Keywords

Geraghty type contraction, E-contraction, Geraghty contraction of type E-S,(T)

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Citation

11

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Volume

51

Issue

1

Start Page

233

End Page

240

URI

https://doi.org/10.1515/dema-2018-0019
 https://hdl.handle.net/20.500.14411/2955

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