Approximating fixed points for nonexpansive mappings of iterative schemes in Banach spaces

The purpose of this thesis is to introduce a new iteration scheme for approximations of fixed points of the nonexpansive mappings and Suzuki generalized nonexpansive mappings. We also prove weak and strong theorems for nonexpansive mapping and Suzuki generalized nonexpansive mappings using our iteration process. Numerical example is given to show the efficiency of new iteration process. We also provide examples of mappings satisfying condition (C) and numerically compare the convergence of the proposed iteration process with the existing processes. Key Words: Nonexpansive Mapping, Uniformly Convex Banach Spaces, Suzuki Generalized Nonexpansive Mapping, Fixed Point, Iteration Schemes