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Banach空间中一致L-Lipschitz映象的强收敛定理
The Strong Convergence Theorems for Uniformly L-Lipschitzian Mappings in Banach Spaces
【摘要】 在任意实Banach空间中引入了一对一致L-Lipschitz映象的具误差的新迭代序列,并证明了这些迭代序列的强收敛性定理.结果推广、完善和改进了最近的一些结果.
【Abstract】 Some new iterative processes with errors for a pair of uniformly L-Lipschitzian mapping in Banach spaces are introduced and the strong convergence theorem for the iterative processes are proved.The results presented in this paper extend,supplement and improve the recent results.
【关键词】 一致L-Lipschitz映象;
渐近伪压缩映象;
迭代序列;
不动点;
【Key words】 uniformly L-Lipschitzian mapping; asymptotically pseudocontractive mapping; iterative sequences; fixed point;
【Key words】 uniformly L-Lipschitzian mapping; asymptotically pseudocontractive mapping; iterative sequences; fixed point;
【基金】 四川省教育厅自然科学基金(08ZA008)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2011年16期
- 【分类号】O177.2
- 【下载频次】38