In
this
paper
we
suppose
that {f[subscript n]}[subscript n ε N] is
a
countable
family
of
mappings
of
a
topological
space
into
itself
and
investigate
the
pointwise
convergence
of
the
sequence
<F[subscript n]> defined
by
either F₁ = f₁, F[subscript n]₊₁ = f[subscript n]₊₁°F[subscript n] n = 1, 2, 3,...