| On relationship between convergence ball of Euler iteration in Banach spaces and its dynamical behavior on Riemann spheres |
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| 作者姓名： | 王何宇 李冲 王兴华 |
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| 作者单位： | Computing Center，Zhejiang University，Department of Mathematics，Zhejiang University，Department of Mathematics，Zhejiang University Hangzhou 310027，China，Department of Mathematics，Zhejiang University，Hangzhou 310028，China，Hangzhou 310028，China，Hangzhou 310028，China |
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| 基金项目： | This work was supported by the Special Funds for Major State Basic Research
Projects(Grant No.G19990328)，the National Natural Science Foundation of China(Grant No.19971013)，also supported partly by Zhejiang Provincial Natural Science Foundation o |
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| 摘 要： | The relationship between the convergence ball of the Euler iteration in Banach Spaces and its exclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euler iteration, the convergence ball is determined accurately for a class of operators whose derivatives satisfy some generalized Lipschitz condition on Banach spaces.
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| 收稿时间： | 31 July 2002 |
On relationship between convergence ball of euler iteration in banach spaces and its dynamical behavior on Riemann spheres |
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| Heyu?WangEmail author,Chong?Li,Xinghua?Wang.On relationship between convergence ball of Euler iteration in Banach spaces and its dynamical behavior on Riemann spheres[J].Science in China(Mathematics),2003,46(3):376-382. |
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| Authors: | Email author" target="_blank">Heyu?WangEmail author Chong?Li Xinghua?Wang |
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| Institution: | 1. Computing Center, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310028, China
2. Department of Mathematics, Zhejiang University, Hangzhou 310028, China |
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| Abstract: | The relationship between the convergence ball of the Euler iteration in Banach Spaces and its exclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euler iteration, the convergence ball is determined accurately for a class of operators whose derivatives satisfy some generalized Lipschitz condition on Banach spaces. |
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| Keywords: | solution of operator equation the Euler iteration convergence ball exclusive flxed point complex analytic dynamical system |
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