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具误差的三种迭代收敛的等价性
The Equivalence Among the Three Convergence of Iterations with Errors
【摘要】 考虑了具误差的Mann迭代,Ishikawa迭代和三重迭代对中间意义下的渐进非扩张映射和强逐次伪压缩映射收敛的等价性.我们的主要结果改善和推广了近期该方向研究所得到的某些成果.
【Abstract】 The convergences of modified Mann iterations with errors is equivalent to the convergence of modified Ishikawa iterations with errors and modified three-step iterations with errors,when T is an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps.Our main results improve and extend the corresponding results of the recent ones.
【关键词】 中间意义下的渐进非扩张映射；
强逐次伪压缩映射；
具误差的三重迭代法；
具误差迭代收敛的等价性；
一致Lipschitzian性质；
【Key words】 Asymptotically nonexpansive mapping in the intermediate sense； Strongly successively pseudocontractive mapping； Method of modified three-step iterations with errors； The equivalence Among the Three Convergence of Iterations with Errors； Uniformly Lipschitzian property；
【Key words】 Asymptotically nonexpansive mapping in the intermediate sense； Strongly successively pseudocontractive mapping； Method of modified three-step iterations with errors； The equivalence Among the Three Convergence of Iterations with Errors； Uniformly Lipschitzian property；
【基金】 教育部科学技术研究重点支持项目(207014);河北省自然科学基金资助项目(A2006000941)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年01期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】66