## Proof - A Contracting Mapping is Continuous

Theorem

A contracting mappingis continuous.

Proof

Letbe a contracting mapping on a metric space

A real numberexists such thatfor all

Takethen henceis continuous.

Theorem

A contracting mappingis continuous.

Proof

Letbe a contracting mapping on a metric space

A real numberexists such thatfor all

Takethen henceis continuous.