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.
Journal Title
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Volume Title
Publisher
Yokohama Publications
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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.
Description
Keywords
Contractive mapping, Fixed point, G-metric space, Mixed monotone property, Partially ordered set, Quasi-metric
Turkish CoHE Thesis Center URL
Fields of Science
Citation
17
WoS Q
Q2
Scopus Q
Q3
Source
Journal of Nonlinear and Convex Analysis
Volume
16
Issue
9
Start Page
1787
End Page
1816