# Lipschitz continuous

### From Glossary

The function is Lipschitz continuous if
there exists a value , called the *Lipschitz constant*, such that
for all and in .
This relation is called the *Lipschitz condition*. It is stronger than continuity because
it limits the slope to be within . The
*generalized Lipschitz condition* is that there exists a
monotonically increasing function,
with the property that as
such that there exists for which for all
and in