On common fixed points that belong to the zero set of a certain function

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Date

2017

Authors

Karapınar, Erdal
Samet, Bessem
Shahi, Priya

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int Scientific Research Publications

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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

We provide sufficient conditions under which the set of common fixed points of two self-mappings f, g : X -> X is nonempty, and every common fixed point of f and g is the zero of a given function phi : X -> [0, infinity). Next, we show the usefulness of our obtained result in partial metric fixed point theory. (C) 2017 All rights reserved.

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Shahi, Priya/0000-0001-7743-4753; KARAPINAR, ERDAL/0000-0002-6798-3254
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Shahi, Priya ORCID logo
KARAPINAR, ERDAL ORCID logo

Keywords

phi-admissibility, common fixed point, zero set, partial metric

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3

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Volume

10

Issue

7

Start Page

3447

End Page

3455

URI

https://doi.org/10.22436/jnsa.010.07.09
 https://hdl.handle.net/20.500.14411/615

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