Equicontinuous family of functions (source code)

= Equicontinuous family of functions
{wiki=Equicontinuity}

= Equicontinuous
{synonym}

A family $\mathcal F$ of maps between metric spaces is equicontinuous when, near each point, one input tolerance controls the output variation uniformly for every $f\in\mathcal F$. Uniform equicontinuity uses one input tolerance over the whole domain.