APPROXIMATING OF FIXED POINTS FOR MULTI-VALUED GENERALIZED a-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Seyi̇t Temir · Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application · 2023
In this paper, we study multi-valued generalized anonexpansive 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 a-nonexpansive mapping. Finally, the convergence of this iteration process to the fixed point for multi-valued generalized a-nonexpansive mapping is discussed on this numerical example.