Supremacy of s-convexity scheme and generation of advanced fractal using faster iteration

Abstract

In recent days, complex behavior of dynamics systems has outstanding feature of fractals and have become a broad area of research in the field of mathematics. Many researches are going on generation of fractals and antifractals but a very few are under the consideration of s-convexity. The aim of this paper is to study the dynamics of fractals using s-convexity scheme and is to obtain the new fixed point results as well as to examine their mathematical properties in generation of convex Julia sets using new faster iterative procedure.