Mathematics (Aug 2019)
Approximating Fixed Points of Bregman Generalized <i>α</i>-Nonexpansive Mappings
Abstract
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.
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