A Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces With an Implicit Relation
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Average
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Average
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Top 10%
Abstract
In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our main theorem improves and extends various results in the literature. We also state some examples to illustrate our work. MSC: 47H10, 54H25, 46J10, 46J15.
Description
Gulyaz, Selma/0000-0002-1876-6560; KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
coupled coincidence point, coupled fixed point, mixed monotone property, implicit relation, ordered partial metric space, O-compatible, coupled coincidence point, coupled fixed point, implicit relation, O-compatible, Applied Mathematics, ordered partial metric space, mixed monotone property, Geometry and Topology, Mathematics, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, \(O\)-compatible, Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
8
Source
Fixed Point Theory and Applications
Volume
2013
Issue
Start Page
End Page
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Citations
CrossRef : 4
Scopus : 9
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Mendeley Readers : 2
SCOPUS™ Citations
9
checked on May 01, 2026
Web of Science™ Citations
11
checked on May 01, 2026
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