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Banach空间中渐近拟非扩展型映象不动点的迭代逼近
引用本文:王绍荣,王彭德.Banach空间中渐近拟非扩展型映象不动点的迭代逼近[J].数学杂志,2005,25(6):650-654.
作者姓名:王绍荣  王彭德
作者单位:大理学院数学系,云南,大理,671000
基金项目:大理学院科研基金资助项目(2002X42).
摘    要:本文研究了一致凸Banach空间中渐近拟非扩展型映象和渐近非扩展型映象T的不动点的迭代逼近问题.利用范数不等式,在去掉3]中一个较强条件的情况下,证明了T的具误差的Ishikawa迭代序列中收敛于T的某个不动点.所得定理推广和改进了已有的部分结果。

关 键 词:近拟非扩展型映象  不动点  迭代序列
文章编号:0255-7797(2005)06-0650-05
收稿时间:2003-06-02
修稿时间:2003-06-022004-06-08

THE ITERATIVE APPROXIMATION PROBLEM FOR THE FIXED POINTS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES
WANG Shao-rong,WANG Peng-de.THE ITERATIVE APPROXIMATION PROBLEM FOR THE FIXED POINTS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES[J].Journal of Mathematics,2005,25(6):650-654.
Authors:WANG Shao-rong  WANG Peng-de
Institution:Dept. of Math. , Dali University,Dali 671000, China
Abstract:The purpose of this paper is to investigate the iterative approximation problem of fixed points for the asymptotically quasi-nonexpansive type mapping and asymptotically nonexpansive type mapping T in uniformly convex Banach spaces. By using the norm inequality, without the condition of 3] it is proved that the Ishikawa iterative sequences with errors converge strongly to a fixed point of T. The results improve and extend some results known previously.
Keywords:asymptotically quasi-nonexpansive type mapping  fixed points iterative sequence with errors
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