The Perturbed G-Metric Space and Fixed Point Results
Perturbed G-Metric Space and Fixed Point Results
Resumen
In this paper, we introduce and investigate fixed point results within the framework of perturbed G-metric space, a generalization of metric and perturbed metric spaces involving a generalized distance function defined on triples of points. We establish Banach amd Kannan fixed point theorems for mappings that contract with respect to a perturbed G-metric, proving existence and uniqueness of fixed points. Further, the results of Mustafa, Mustafa and Obiedat, Nutu and Pacurar, and Gaba are obtained as corollaries.
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Derechos de autor 2026 Boletim da Sociedade Paranaense de Matemática
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