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A New Generalization of Metric Spaces Satisfying the T2-Separation Axiom and Some Related Fixed Point Results

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Abstract

In this paper, without using neither the compactness nor the uniform convexity, some fixed point theorems are proved by using a binary relation in the setting of a new class of spaces called \(T\)-partial metric spaces. This class of spaces can be considered the first generalization of metric spaces such that the generated topology is a Hausdorff topology. Our theorems generalize and improve very recent fixed point results in the literature. Finally, we show the existence of a solution for a class of differential equations under new weak conditions.

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Authors and Affiliations

  1. Youssef Touail Equipe de Recherche en Mathématiques Appliquées, Technologies de l’Information et de la Communication Faculté Polydisciplinaire de Khouribga, Université Sultan Moulay Slimane de Beni-Mellal, BP. 25000, Beni-Mellal, Morocco

    Y. Touail

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  1. Y. Touail
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Touail, Y. A New Generalization of Metric Spaces Satisfying the T2-Separation Axiom and Some Related Fixed Point Results. Russ Math. 67, 76–86 (2023). https://doi.org/10.3103/S1066369X23050092

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  • DOI: https://doi.org/10.3103/S1066369X23050092

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