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Fixed Point Results for Condensing Operators via Measure of Non-Compactness

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Abstract

In this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure of non-compactness, without using regularity. Our results improve and generalize many known results in the literature.

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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, 23000, 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. Fixed Point Results for Condensing Operators via Measure of Non-Compactness. Vestnik St.Petersb. Univ.Math. 55, 347–352 (2022). https://doi.org/10.1134/S1063454122030153

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  • DOI: https://doi.org/10.1134/S1063454122030153

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