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Approximating Fixed Points of Bregman Generalized <i>α</i>-Nonexpansive Mappingsopen access
- Authors
- Muangchoo, Kanikar; Kumam, Poom; Cho, Yeol Je; Dhompongsa, Sompong; Ekvittayaniphon, Sakulbuth
- Issue Date
- Aug-2019
- Publisher
- MDPI
- Keywords
- fixed point; Bregman distance; Bregman function; Bregman-Opial property; generalized alpha-nonexpansive mapping
- Citation
- MATHEMATICS, v.7, no.8
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICS
- Volume
- 7
- Number
- 8
- ISSN
- 2227-7390
- Abstract
- 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.
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