| 严格伪压缩映象的Ishikawa 迭代序列的收敛率估计 |
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| 引用本文： | 曾六川.严格伪压缩映象的Ishikawa 迭代序列的收敛率估计[J].高校应用数学学报(英文版),2002,17(2):189-192. |
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| 作者姓名： | 曾六川 |
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| 作者单位： | Dept.ofMath.,ShanghaiNormalUniv.,Shanghai200234,China |
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| 基金项目： | This project was supported both by the National Natural Science Foundation of China (1 980 1 0 2 3 ) and
by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institu-
tions of MOE，P.R.C. |
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| 摘 要： | It is shown that any fixed point of each l.ipschitzian, strictly pseudocontractive mapping 7“ on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure. The argument in this paper provides a convergence rate estimate.Moreover the result in this paper improves, generalizes and summarizes some important and elegant recent results.
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| 关 键 词： | 严格伪压缩映象 迭代序列 收敛率 估计 |
| 收稿时间： | 5 March 2001 |
Convergence rate estimate of ishikawa iterative sequence for strictly pseudocontractive mappings |
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| Luchuan Zeng.Convergence rate estimate of ishikawa iterative sequence for strictly pseudocontractive mappings[J].Applied Mathematics A Journal of Chinese Universities,2002,17(2):189-192. |
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| Authors: | Luchuan Zeng |
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| Institution: | (1) Dept. of Math., Shanghai Normal Univ., 200234 Shanghai, China |
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| Abstract: | Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in this paper provides a convergence rate estimate. Moreover the resultin this paper improves,generalizes and summarizes some important and el- egant recent results |
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| Keywords: | arbitrary Banach space Lipschitzian mapping strictly pseudocontractive mapping fixed points Ishikawa iterative procedure |
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