]1,0[ with 1 XIX 33 33 ,, ,, and nnn nnn IX and Xu , the following is said to be convex structure on X, if for any .,, 2 IEyx is said to be convex if dX, is a metric space with a convex structure , then ),,,,,( nnn cbazyx . A mapping Keywords- Complex dynamics, relative superior Julia Set, Ishikawa Iteration, s- Convexity. Department of Mathematics R.K.G.Institute of Technology Ghaziabad,U.P.,INDIA II. P RELIMINARIES and :