Let I = {1, 2, · · · , n}. For each k ∈ I let fk : Rd → Rd be a contractive map
satisfying
|fk (x) − fk (y)| ≤ ck |x − y|
for all x, y ∈ Rd , where ck ∈ (0, 1). According to Hutchinson [15], there is a
unique nonempty compact subset F of Rd , called the attractor of {f1 , f2 , · · · , fn },
such that
n
[
F =
fk (F ). ...
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