关于渐近非扩张映象不动点的一个注记  

A Note on Fixed Point of Asymptotically Nonexpansive Mapping

作　　者：程从沈[1] 程丛电[2] 

机构地区：[1]沈阳大学理学院,辽宁沈阳110041 [2]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《沈阳大学学报》2010年第1期8-10,共3页

摘　　要：设E是具一致Gǎteaux可微范数的实Banach空间,D是E的一个凸子集.对于序列{kn}[0,∞)的渐近非扩张映象T,赵良才和张石生在一定条件下给出并证明了关于T的具误差的Ishikawa迭代序列收敛于T的不动点.证明了这一结论对于一般的渐近非扩张映象也是成立的.Let E be a real Banach space with a uniformly Gfteaux differentiable norm, D be a nonempty closed convex subset of E. For the asymptotically nonexpansive mapping T with sequence, under a certain condition, Zhao and Zhang proved that the Ishikawa iteration sequence of T with errors converges strongly to the fixed point of T. It was proved that this result is also true for the general asymptotically nonexpansive mapping.

关 键 词：渐近非扩张映象 ISHIKAWA迭代序列 收敛 不动点 

分 类 号：O177.91[理学—数学]