| REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES |
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| 作者姓名： | 薛志群 田虹 |
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| 作者单位： | Department of Basic Science，Shijiazhuang Railway College，Shijiazhuang Foreign Occupation Technology College Shijiazhuang 050043，P R China，Shijiazhuang 050002，P R China |
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＰｒｅｌｉｍｉｎａｒｉｅｓＳｕｐｐｏｓｅＥｉｓａｒｅａｌＢａｎａｃｈｓｐａｃｅａｎｄＴｉｓａｓｅｌｆｍａｐｏｆＥ .Ｓｕｐｐｏｓｅｘ0 ∈Ｅａｎｄｘｎ+1=ｆ(Ｔ ,ｘｎ)ｄｅｆｉｎｅｓａｎｉｔｅｒａｔｉｏｎｐｒｏｃｅｄｕｒｅｗｈｉｃｈｙｉｅｌｄｓａｓｅｑｕｅｎｃｅｏｆｐｏｉｎｔｓ ｘｎ ∞ｎ=0 ｉｎＥ .Ｆｏｒａｎｅｘａｍｐｌｅ ,ｔｈｅｆｕｎｃｔｉｏｎｉｔｅｒａｔｉｏｎｘｎ+1=ｆ(Ｔ ,ｘｎ) =Ｔｘ0 .ＳｕｐｐｏｓｅＦ(Ｔ) =ｘ∈Ｅ :Ｔｘ=ｘ ≠ ａｎｄｔｈａｔ ｘｎ ｃｏｎｖｅｒｇｅｓｓ…
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| 收稿时间： | 8 October 1999 |
Remark on stability of Ishikawa iterative procedures |
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| Xue Zhi-qun Associate Professor,Tian Hong.REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES[J].Applied Mathematics and Mechanics(English Edition),2002,23(12):1472-1476. |
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| Authors: | Xue Zhi-qun Associate Professor Tian Hong |
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| Institution: | 1. Department of Basic Science, Shijiazhuang Railway College, Shijiazhuang 050043, P R China
2. Shijiazhuang Foreign Occupation Technology College, Shijiazhuang 050002, P R China |
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| Abstract: | The stability of the Ishikawa iteration procedures was studied for one class of continuity strong pseudocontraction and continuity strongly accretive operators with bounded range in real uniformly smooth Banach space. Under parameters satisfying certain conditions, the convergence of iterative sequences was proved. The results improve and extend the recent corresponding results, and supply the basis of theory for further discussing convergence of iteration procedures with errors. |
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| Keywords: | Ishikawa iteration strongly pseudo_contractive operator uniformly smooth Banach space almost T_stable |
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