Cyclic Contractions Via Auxiliary Functions on <i>g</I>-metric Spaces

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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

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

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0101 mathematics, 01 natural sciences

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9

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2013

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CrossRef : 3

Scopus : 23

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SCOPUS™ Citations

23

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Web of Science™ Citations

14

checked on May 28, 2026

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