A function f defined on the real
line is said to be a Stolz angle limit function if there is a function ϕ defined on the
upper half-plane with property that at each point (x,0) there is a Stolz angle such
that the boundary limit of ϕ relative to the Stolz angle exists and is equal to f(x). In
this paper the notion of Stolz angle convergence is extended fol functions defined on
metric spaces.