Definitions

1. adjective

Of or relating to a function or mapping between metric spaces that preserves the metric structure.

“The Lipschitz condition is crucial in many areas of mathematics, including functional analysis and differential equations.”

2. noun

A function or mapping that satisfies the Lipschitz condition.

“The Lipschitz function was instrumental in solving the problem of optimal control in the given system.”

3. proper noun

Rudolf Lipschitz, a German mathematician who introduced the concept of Lipschitz continuity.

“The work of Rudolf Lipschitz has had a lasting impact on the field of real analysis.”