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Rectangular Gb-Metric Spaces and Some Fixed Point Theorems

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In this paper, we first introduce the concept of rectangular Gb-metric space which generalizes the notion of rectangular metric space and Gb-metric space. Then, some fixed point results connected with… Click to show full abstract

In this paper, we first introduce the concept of rectangular Gb-metric space which generalizes the notion of rectangular metric space and Gb-metric space. Then, some fixed point results connected with certain contractions are obtained in the setting of rectangular Gb-metric spaces. Additionally, we also introduce the concept of convex rectangular Gb-metric space by means of the convex structure and study the fixed points of enriched type contractions in this space.

Keywords: fixed point; metric space; space; rectangular metric; metric spaces

Journal Title: Axioms
Year Published: 2022

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