Fixed point theorems in quasi-metric spaces and applications to multidimensional fixed point theorems on G-metric spaces

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Date

2015

Authors

Karapınar, Erdal
Karapinar,E.
Roldán-López-De-Hierro,A.-F.

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Publisher

Yokohama 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

In this manuscript, we investigate the equivalence of the coupled fixed point theorems in quasi-metric spaces and in G-metric spaces. We also notice that coupled fixed point theorems in the setting of G-metric spaces can be derived from their corresponding versions in quasi-metric spaces. Our results generalize and unify several fixed point theorems in the context of G-metric spaces in the literature.

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Keywords

Contractive mapping, Fixed point, G-metric space, Mixed monotone property, Partially ordered set, Quasi-metric

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17

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Source

Journal of Nonlinear and Convex Analysis

Volume

16

Issue

9

Start Page

1787

End Page

1816

URI

https://hdl.handle.net/20.500.14411/9431

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