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Banach limit, fixed points and Ulam stability

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

We show how to use the Banach limit to obtain a fixed point theorem for function spaces. We also present some applications of this result in Ulam stability.

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Authors and Affiliations

  1. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059, Kraków, Poland

    Janusz Brzdȩk

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  1. Janusz Brzdȩk
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Correspondence to Janusz Brzdȩk.

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Brzdȩk, J. Banach limit, fixed points and Ulam stability. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 79 (2022). https://doi.org/10.1007/s13398-022-01219-3

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  • DOI: https://doi.org/10.1007/s13398-022-01219-3

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