On (α, ψ) contractions of integral type on generalized metric spaces

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2015

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Springer International Publishing

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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 investigate the existence and uniqueness of fixed points of (α,ψ)-contractive mappings of integral type in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in literature. © 2015 Springer International Publishing Switzerland.

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Keywords

Generalized metric spaces, α-ψ contractions of integral type

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1

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Q4

Source

Trends in Mathematics -- 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 -- 5 August 2013 through 9 August 2013 -- Krakow -- 165019

Volume

2

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Start Page

843

End Page

854

URI

https://doi.org/10.1007/978-3-319-12577-0_91
 https://hdl.handle.net/20.500.14411/3761

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