| 关于Ishikawa迭代程序逼近严格伪压缩映象的不动点问题 |
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| 引用本文： | 曾六川.关于Ishikawa迭代程序逼近严格伪压缩映象的不动点问题[J].应用数学,2002,15(1):7-10. |
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| 作者姓名： | 曾六川 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | ProjectsupportedbothbytheNationalNaturalScienceFoundation(1980 10 2 3)andbytheTeach ingandResearchAwardFoundforOutstandingYoungTeachersinHigherEducationInstitutionsofMOE，P .R .C . |
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| 摘 要： | 设X是一Banach空间，K是X的闭凸子集，T：K→K是严格伪压缩的Lipschitz映象。我们证明了T的任何不动点可用Ishikawa迭代程序来范数逼近，并提供了收敛率的估计。本文结果在一定程序上推广与概括了Sastry与Babu2]的定理1，在一定程度上改进与推广了Liu1]的定理1与定理2。
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| 关 键 词： | Banach空间 Lipschitz映象 Ishikawa迭代程序 不动点 严格伪压缩映象 |
| 文章编号： | 1001-9847(2002)01-0007-04 |
Approximating Fixed Points of Strictly Pseudocontractive Mappings by Ishikawa Iterative Procedure |
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| ZENG Liu-chuan.Approximating Fixed Points of Strictly Pseudocontractive Mappings by Ishikawa Iterative Procedure[J].Mathematica Applicata,2002,15(1):7-10. |
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| Authors: | ZENG Liu-chuan |
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| Abstract: | We show that any fixed point of a Lipschitzian, strictly pseudocontractive mapping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure. Our argument provides a convergence rate estimate. Moreover, our result, to some extent, generalizes and summarizes and 1,Th. 1 and 2]. |
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| Keywords: | Banach space Lipschitzian strictly preudocontractive mapping Ishikawa iterative procedure Fixed point |
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