new three-step iteration process and fixed point approximation in banach spaces

‎in this paper we propose a new iteration process‎, ‎called the k∗ iteration process‎, ‎for approximation of fixed‎ ‎points‎. ‎we show that our iteration process is faster than the existing well-known iteration processes using numerical examples‎. ‎stability of the k∗‎‎ iteration process is also discussed‎. ‎finally we prove some weak and strong convergence theorems for suzuki generalized nonexpansive mappings in the setting of uniformly convex banach spaces‎. ‎our results are the extension‎, ‎improvement and generalization of many well-known results in the literature of iterations in‎ ‎fixed point theory‎.