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Approximating Fixed Points of Bregman Generalized <i>α</i>-Nonexpansive Mappings
- Muangchoo, Kanikar;
- Kumam, Poom;
- Cho, Yeol Je;
- Dhompongsa, Sompong;
- Ekvittayaniphon, Sakulbuth
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2초록
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.
키워드
fixed point; Bregman distance; Bregman function; Bregman-Opial property; generalized alpha-nonexpansive mapping; CONVERGENCE THEOREMS; WEAK-CONVERGENCE; ITERATION
- 제목
- Approximating Fixed Points of Bregman Generalized <i>α</i>-Nonexpansive Mappings
- 저자
- Muangchoo, Kanikar; Kumam, Poom; Cho, Yeol Je; Dhompongsa, Sompong; Ekvittayaniphon, Sakulbuth
- 발행일
- 2019-08
- 유형
- Article
- 저널명
- MATHEMATICS
- 권
- 7
- 호
- 8
- 언어
- ENG
- 출판사
- MDPI
- 발행국가
- 스위스
- ISSN
- E 2227-7390