期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Convergence Theorms for Asymptotically Non-expanstive Mapping in a Uniformly Convex Banach Space
摘要/Abstract
摘要：
Hilbert空间中渐近非扩张映像的Ishikawa迭代的收敛定理已被证明,后又被推广到一致凸Ba-nach空间,证明了有界闭凸集上渐近非扩张映像的Ishikawa迭代的收敛定理.现将其进一步推广到一般凸集上,且减弱了相关条件.
Abstract：
The convergence theorm of Ishikawa iterative for asymptotically non-expansitve map-ping in a Hilbert space was proved. The relative results is extended to a uniformly convex Banach space that T is asymptotically non-expanstive mapping from bounded closed convex subset E into self.Now suppose only E is closed convex subset in uniformly convex Banach space. The convergence theo-rms of Ishikawa iterative for asymptotically non-expanstive mapping is still proved and the relative conditions is also weakened.
关键词
Key words：
uniformly convex
;
convergence
;
mapping
;
iterate