Some New Fixed Point Theorems in Fuzzy Metric Spaces

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Date

2014

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Ios Press

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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 aim of this paper is to introduce a new class of contractive mappings such as fuzzy alpha-psi-contractive mappings and to present some fixed point theorems for such mappings in complete fuzzy metric space in the sense of Kramosil and Michalek. The results presented in this paper substantially generalize and extend several comparable results in the existing literature. Also, some examples are given to support the usability of our results.

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Roldan Lopez de Hierro, Antonio Francisco/0000-0002-6956-4328
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Roldan Lopez de Hierro, Antonio Francisco ORCID logo

Keywords

Fuzzy metric space, Fuzzy alpha-psi-contractive mappings, Fixed point

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WoS Q

Q4

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Q3

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Volume

27

Issue

5

Start Page

2257

End Page

2264

URI

https://doi.org/10.3233/IFS-141189
 https://hdl.handle.net/20.500.14411/61

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