【作者】 刘国华；

【导师】 何震；

【作者基本信息】 河北大学 ， 基础数学， 2004， 硕士

【摘要】 本论文利用赋范线性空间X的凸性模定义，以及凸性模的严格单调性，再借用现有结果，研究关于渐进非扩张映射T：D→D不动点的三步迭代法， 本文分别讨论了三步迭代不具误差的情形以及三步迭代具误差的情形 本论文将文献[3，6]的二步迭代推广到三步迭代，并减弱了许多条件。我们得出的主要结论推广了同类问题的某些结果，使这些迭代结果的应用范围更广。更多还原

【Abstract】 This thesis makes use of defines of the convex mold of the possess (naturally) norm linear space, and convex mold is strict and monotonous function, then use the current result, research concerning three heavy recurrence method of fixed point iteration for asymptotically nonexpansive mappings.This text discussed respectively the situation on behalf of do not have the error and situation on behalfs of errors on three heavy recurrence method of fixed point iteration for asymptotically nonexpansive mappings.This thesis cultural heritage[3,6] three heavy recurrence method of fixed point iteration expands three heavy recurrence method of fixed point iteration ,and combining to die down many terms. The main results we obtained generalized some results in the same class and widened the application of them.更多还原