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- W4251392739 abstract "Lipschitz functions are the smooth functions of metric spaces. A real-valued function f on a metric space X is said to be L-Lipschitz if there is a constant L ≥ 1 such that $$ left| {f(x) - f(y)} right| leqslant Lleft| {x - y} right| $$ (6.1) for all x and y in X. Of course, there is nothing special about having the real line as a target, and in general we call a map f : X → Y between metric spaces Lipschitz, or L-Lipschitz if the constant L ≥ 1 deserves to be mentioned, if condition (6.1) holds." @default.
- W4251392739 created "2022-05-12" @default.
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- W4251392739 date "2001-01-01" @default.
- W4251392739 modified "2023-10-02" @default.
- W4251392739 title "Lipschitz Functions" @default.
- W4251392739 doi "https://doi.org/10.1007/978-1-4613-0131-8_6" @default.
- W4251392739 hasPublicationYear "2001" @default.
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