Banach空间中Ishikawa迭代序列的稳定性和收敛性问题  

Stability and Convergence Problem of Ishikawa and Mann Iterative Sequences in Banach Spaces

作　　者：张石生[1] 

机构地区：[1]宜宾学院数学系

出　　处：《数学学报（中文版）》2007年第5期1051-1062,共12页Acta Mathematica Sinica：Chinese Series

摘　　要：在Banach空间的框架下,讨论了中间意义下的渐进非扩张的渐进伪压缩的具平均误差的修正的Ishikawa和Mann迭代序列的收敛性和稳定性之间的等价性问题,改进和推广了以前的结果.Some equivalence theorems between convergence and stability of modified Ishikawa and modified Mann iterative sequences with mean errors for asymptotically nonexpansive mappings in the intermediate sense and asymptotically pseudocontractive mappings in Banach spaces are obtained, the results presented in this paper extend and improve some recent results.

关 键 词：具平均误差的修正Ishikawa(Mann)迭代序列 渐近非扩张映象 中间意义的渐进非扩张映象 

分 类 号：O177.91[理学—数学]