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Lipschitz Functions pp 211–251Cite as

Extension Results for Lipschitz Mappings

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2241))

Abstract

In this chapter we present various extension results for Lipschitz functions obtained by Kirszbraun, McShane, Valentine and Flett—the analogs of Hahn-Banach and Tietze extension theorems. A discussion on the corresponding property for semi-Lipschitz functions defined on quasi-metric spaces and for Lipschitz functions with values in a quasi-normed space is included as well.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania

    Ştefan Cobzaş & Adriana Nicolae

  2. Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Brasov, Romania

    Radu Miculescu

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Cobzaş, Ş., Miculescu, R., Nicolae, A. (2019). Extension Results for Lipschitz Mappings. In: Lipschitz Functions. Lecture Notes in Mathematics, vol 2241. Springer, Cham. https://doi.org/10.1007/978-3-030-16489-8_4

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