Approximating Fixed Points of Bregman Generalized α-Nonexpansive Mappings
Kanikar Muangchoo, Poom Kumam, Yeol Je Cho, Sompong Dhompongsa, Sakulbuth Ekvittayaniphon · Mathematics · 2019
In this paper, we introduce a new class of Bregman generalized α -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 α -nonexpansive mappings in Banach spaces. A numerical example is given to illustrate the main results of fixed point approximation using Halpern’s algorithm.