Approximating Fixed Points Of Bregman Generalized Alpha-Nonexpansive Mappings

In this paper, we introduce a new class of Bregman generalized alpha-nonexpansive mappings in terms of the Bregman distance. We establish several weak and strong convergence theorems of the Ishikawa and Noor iterative schemes for Bregman generalized alpha-nonexpansive mappings in Banach spaces. A numerical example is given to illustrate the main results of fixed point approximation using Halpern's algorithm.