On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences

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2015

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Lithuanian Association of Nonlinear Analysts

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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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In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented. © Vilnius University, 2016.

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Fixed point, G-metric space, Implicit contraction, Quasi-metric space

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Nonlinear Analysis: Modelling and Control

Volume

21

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1

Start Page

40

End Page

56

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https://doi.org/10.15388/NA.2016.1.3
 https://hdl.handle.net/20.500.14411/7345

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