Lipschitz condition

noun

A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

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Meanings

nounLipschitz condition (plural Lipschitz conditions)

plural Lipschitz conditions

  1. mathematical analysisA property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

Origin

Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a "condition" because it is a sufficient (but not necessary) condition for continuity of a function.

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Cite this entry
APA

Lipschitz condition. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Lipschitz%20condition

MLA

“Lipschitz condition.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lipschitz%20condition. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lipschitz condition,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Lipschitz%20condition.

Source: Lipschitz condition on Wiktionary, CC BY-SA 4.0.