| 一致凸Banach空间渐近非扩张映像的收敛定理 |
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| 引用本文： | 苏永福.一致凸Banach空间渐近非扩张映像的收敛定理[J].河北师范大学学报(自然科学版),2001,25(2):151-154. |
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| 作者姓名： | 苏永福 |
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| 作者单位： | 沧州师范专科学校数学系, |
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| 基金项目： | 河北省自然科学基金!资助项目 (19815 5 ) |
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| 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Banach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。
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| 关 键 词： | 一致凸Barach空间 有界闭凸集 渐近非扩张映像 Ishikawa迭代 收敛定理 一般凸集 |
| 文章编号： | 1000-5854(2001)02-0151-04 |
| 修稿时间： | 2001年3月11日 |
The Convergence Theorms for Asymptotically Non-expanstive Mapping in a Uniformly Convex Banach Space |
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| SU Yong-fu,WTBZ.The Convergence Theorms for Asymptotically Non-expanstive Mapping in a Uniformly Convex Banach Space[J].Journal of Hebei Normal University,2001,25(2):151-154. |
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| Authors: | SU Yong-fu [WTBZ] |
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| Institution: | SU Yong-fu [WT6BZ] |
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| Abstract: | The convergence theorm of Ishikawa iterative for asymptotically non-expansitve mapping 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 theorms of Ishikawa iterative for asymptotically non-expanstive mapping is still proved and the relative conditions is also weakened. |
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| Keywords: | uniformly convex convergence mapping iterate |
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