Existence of fixed points in \(G\)-metric spaces. (English) Zbl 07805655
Summary: In this manuscript, we provide some new results for the existence of fixed points for a certain contractive condition of Geraghty type in the setting of partially ordered \(G\)-metric space. Also, we provide an example to illustrate the usability of results. Our results generalize or extend many well known results in the literature.
Keywords:
\(G\)-metric space; self-map; Banach contraction; fixed point; poset; compatible mappings; comparableReferences:
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