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
Agarwal,R.
Karapınar, Erdal
Karapinar,E.
Roldán-López-De-Hierro,A.-F.
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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.
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Keywords
Contractive mapping, Fixed point, G-metric space, Mixed monotone property, Partially ordered set, Quasi-metric
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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