中国科学A辑(英文版)
中國科學A輯(英文版)
중국과학A집(영문판)
SCIENCE IN CHINA
2003年
3期
376-382
,共7页
王何宇%李冲%王兴华
王何宇%李遲%王興華
왕하우%리충%왕흥화
solution ofoperator equation%the Euler iteration%convergence ball%exclusive fixedpoint%complex analytic dynamical system
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.