关于Banach空间中Lipschitz强伪压缩映象不动点的带误差的Ishikawa型迭代逼近问题  

Ishikawa type iterative sequences with errors for the fixed point of Lipschitzian strongly pseudocontractive mappings in Banach spaces

作　　者：王绍荣[1] 杨泽恒[1] 

机构地区：[1]云南大理学院数学系,云南大理671000

出　　处：《云南师范大学学报（自然科学版）》2004年第2期4-7,20,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：大理学院科研基金资助项目(2002X42)

摘　　要：　设X是实Banach空间E的闭子空间,T:X→X是Lipschitz强伪压缩映象,x*为T的不动点.在关于{αn},{βn}为更广的条件下证明了带误差的Ishikawa型迭代序列强收敛于x*.并证明了当T:E→E是Lipschitz强增生算子时,带误差的Ishikawa型迭代序列强收敛到方程Tx=f的唯一解.文章结果推广和发展了文[1]的相应结果.Let X be a closed subspace of a real Banach space E , and T:X→X be a Lipschizian strongly pseudocontractive mapping with fixed point x~* . Under more general condition for α_n and β_n ,it is shown that the Ishikawa type iterative sequence with errors converges strongly to x~* and it is also shown that the Ishikawa type iterative sequence with errors converges strongly to the unique solution of the equation Tx=f when T:E→E is a Lipschizian strongly accretive operator. The results of this paper improve improve and extend the corresponding results in [1].

关 键 词：BANACH空间 Lipschitz强伪压缩映象 误差 ISHIKAWA型迭代序列 不动点 强增生算子 

分 类 号：O177.2[理学—数学]