On relationship between convergence ball of Euler iteration in Banach spaces and its dynamical behavior on Riemann spheres

作     者：王何宇 李冲 王兴华 

作者机构：Computing CenterZhejiang University Department of MathematicsZhejiang UniversityHangzhou 310028China Department of MathematicsZhejiang University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2003年第46卷第3期

页      面：376-382页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：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 

主　　题：solution ofoperator equation, the Euler iteration, convergence ball, exclusive fixedpoint, complex analytic dynamical system. 

摘      要：The relationship between the convergence ball of the Euler iteration in Banach Spaces and itsexclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euleriteration, the convergence ball is determined accurately for a class of operators whose derivatives satisfy somegeneralized Lipschitz condition on Banach spaces.