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一致拟Lipschitzian映象的修改的具误差Ishikawa迭代序列
引用本文:邓磊,夏霞. 一致拟Lipschitzian映象的修改的具误差Ishikawa迭代序列[J]. 应用泛函分析学报, 2004, 6(2): 146-149
作者姓名:邓磊  夏霞
作者单位:西南师范大学数学系,重庆,400715
基金项目:教育部科学技术重点项目,重庆市科学技术资助项目(021301)
摘    要:证明了Banach空间中一致拟Lipschitzian映象T的修改的具误差Ishikawa迭代序列收敛到不动点的充要条件,其中T不要求连续.

关 键 词:一致拟Lipschitzian映象 Banach空间 Ishikawa迭代序列 渐近非扩张 不动点
文章编号:1009-1327(2004)02-0146-04
修稿时间:2003-04-24

The Modification Ishikawa Iterative Sequences with Error for Uniformly Quasi-Lipschitzian Mappings
DENG Lei,XIA Xia. The Modification Ishikawa Iterative Sequences with Error for Uniformly Quasi-Lipschitzian Mappings[J]. Acta Analysis Functionalis Applicata, 2004, 6(2): 146-149
Authors:DENG Lei  XIA Xia
Affiliation:DENG Lei,XIA Xia Department of Mathematics,Southwest China Normal University,Chongqing 400715,China
Abstract:We will prove a sufficient and necessary condition for the modification Ishikawa iterative sequences with error of uniformly quasi-Lipschitzian mapping T to converge to fixed points, where T need not be continuous.
Keywords:Banach space  uniformly Lipschitzian mapping  uniformly quasi-Lischitzian mapping  modification Ishikawa iterative sequence with error member
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