Lipschitz Condition Definition

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.

Wiktionary

Other Word Forms of Lipschitz Condition

Noun

Singular:

Lipschitz condition

Plural:

Lipschitz conditions

Origin of Lipschitz Condition

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.

From Wiktionary