APPROXIMATING OF FIXED POINTS FOR MULTI-VALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN BANACH SPACES.

In this paper, we study multi-valued generalized ffnonexpansive mappings in uniformly convex Banach spaces. We introduce a new multi-valued iterative process and prove some weak and strong convergence results in uniformly convex Banach space. We also study the stability of this iteration process. Further, we provide a numerical example of the multi-valued generalized α-nonexpansive mapping. Finally, the convergence of this iteration process to the fixed point for multi-valued generalized α-nonexpansive mapping is discussed on this numerical example. [ABSTRACT FROM AUTHOR]