渐近伪压缩映象的Ishikawa迭代序列强收敛的充要条件  

Necessary and Sufficient Conditions for Strong Convergence of Ishikawa-Iterative Sequence of Asymptotical Pseudo-contraction Mapping

作　　者：王朝[1] 刘理蔚[1] 

机构地区：[1]南昌大学数学系,南昌330047

出　　处：《应用泛函分析学报》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)

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.

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 

分 类 号：O177[理学—数学]