Cyclic Contractions Via Auxiliary Functions on <i>g</I>-metric Spaces
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Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
Abstract
In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings via auxiliary functions in the context of G-metric spaces, which were introduced by Zead and Sims. In particular, we extend, improve and generalize some earlier results in the literature on this topic.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
fixed point, G-metric space, cyclic maps, cyclic contractions, Applied Mathematics, Geometry and Topology, \(G\)-metric space, cyclic contractions, cyclic maps, fixed point, Fixed-point and coincidence theorems (topological aspects), Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
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WoS Q
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OpenCitations Citation Count
9
Volume
2013
Issue
Start Page
End Page
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Citations
CrossRef : 3
Scopus : 23
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Mendeley Readers : 1
SCOPUS™ Citations
23
checked on May 28, 2026
Web of Science™ Citations
14
checked on May 28, 2026
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