APPROXIMATION OF CONTINUOUS FUNCTIONS BY LIPSCHITZ FUNCTIONS
APPROXIMATION OF CONTINUOUS FUNCTIONS BY LIPSCHITZ FUNCTIONS
Georganopoulos (see [1] ) has shown that a continuous function $% f:X\rightarrow B$, where $X$ is a compact metric space and $B$ a convex subset of a real normed space $Y$, is the uniform limit of a sequence of Lipschitz maps from $X$ to $B$. In this note we obtain …