摘要
在一般的实Banach空间中,研究Lipschitz渐近伪压缩映象和渐近非扩张映象不动点的迭代逼近问题.给出Ishikawa迭代序列强收敛的充要条件,所得结果改进和推广了张石生,肖建中等人的主要结果,修正和推广了朱玲娣等人的相应结果.
The iterative approximation problems of fixed points are studied for Lipsehitz asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings in general real Banach spaces. Some necessary and sufficient conditions are given for Ishikawa type interative sequence to converge to fined points. Our results improve and extend the results of Zhang, Xiao, revise and improve the corresponcting results of Zhu.
出处
《应用泛函分析学报》
CSCD
2006年第3期252-258,共7页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10561007)
江西省自然科学基金(0411036)
关键词
渐近伪压缩映象
渐近非扩张映象
修改的Ishikawa迭代序列
不动点
Asymptotically pseudo-contractive mapping
asymptotically non-exp,msive mapping
modified Ishikawa iterative sequence
fixed points
