On Krasnoselskii Fixed Point Theorem and fractal

We show that Φ has a fixed point, if S is convex and Φ is convex and closed valued (Sehgal and Singh, 1978) [2], (Wu, 1997 ) [3], in addition Φ is convex-closed under σ(Φ) approximation continuous, this is the fixed (invariant) set. We use these invariants in fractals (in the grab of a self-similar set). We generate the Fractal Set from Krasnoselskii's Fixed Point Theorem (Sehgal and Singh, 1978) [2], (Wu, 1997) [3]