On cyclic (ψ, φ)-contractions in Kaleva-Seikkala's type 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

In this paper we introduce the notion of cyclic (psi, phi)-contractions on fuzzy metric spaces in the sense of Kaleva and Seikkala, and we discuss the existence and uniqueness of fixed points for mappings satisfying such type of contractions.

Description

Jleli, Mohamed/0000-0002-6095-5875; KARAPINAR, ERDAL/0000-0002-6798-3254; Samet, Bessem/0000-0002-6769-3417

Keywords

Fixed point, cyclic, (psi, phi)-contractions, Fuzzy metric spaces, Fuzzy numbers

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Citation

14

WoS Q

Q4

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Q3

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Volume

27

Issue

4

Start Page

2045

End Page

2053

URI

https://doi.org/10.3233/IFS-141170
 https://hdl.handle.net/20.500.14411/49

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