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New contribution in fixed point theory via an auxiliary function with an application

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Abstract

In this paper, a new class of nonexpansive mappings is defined and some fixed point theorems for such newly type are proved in the setting of bounded metric spaces without using neither the compactness nor the so-called uniform convexity. Our theorems generalize and improve many known results in the fixed point theory. Furthermore, we apply the main results to show the existence and uniqueness of a solution for a differential equation.

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Authors and Affiliations

  1. 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

    Youssef Touail, Amine Jaid & Driss El Moutawakil

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  1. Youssef Touail
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  2. Amine Jaid
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  3. Driss El Moutawakil
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Correspondence to Youssef Touail.

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Touail, Y., Jaid, A. & El Moutawakil, D. New contribution in fixed point theory via an auxiliary function with an application. Ricerche mat 72, 181–191 (2023). https://doi.org/10.1007/s11587-021-00645-6

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  • DOI: https://doi.org/10.1007/s11587-021-00645-6

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