Boletim da Sociedade Paranaense de Matemática (Dec 2022)
Existence of fixed points in G-metric spaces
Abstract
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.