# [1]吴莉.Banach空间中渐近非扩张映射的收敛定理[J].东南大学学报(自然科学版),2003,33(6):804-806.[doi:10.3969/j.issn.1001-0505.2003.06.029] 　Wu Li.Convergence theorems for asymptotically nonexpansive mappings in Banach space[J].Journal of Southeast University (Natural Science Edition),2003,33(6):804-806.[doi:10.3969/j.issn.1001-0505.2003.06.029] 点击复制 Banach空间中渐近非扩张映射的收敛定理() 分享到： var jiathis_config = { data_track_clickback: true };

33

2003年第6期

804-806

2003-11-20

## 文章信息/Info

Title:
Convergence theorems for asymptotically nonexpansive mappings in Banach space

1 南京工程学院基础部, 南京 210036; 2 南京大学数学系, 南京 210093
Author(s):
1 Department of Basic Courses, Nanjing Institute of Technology, Nanjing 210036, China
2 Department of Mathematics, Nanjing University, Nanjing 210093, China

Keywords:

O177.91
DOI:
10.3969/j.issn.1001-0505.2003.06.029

X为具有Opial条件的一致凸Banach空间,CX的非空有界闭凸子集, T, SC到自身的2个渐近非扩张映射且TS有公共的不动点. 本文主要考察了一种带误差的迭代逼近TS有公共的不动点, 在迭代参数{an}, {bn}, {cn}, {a’n}, {
Abstract:
Let X be a uniform Banach space satisfying Opial condition and C a nonempty bounded closed convex subset of X. Let T, S be two asymptotically nonexpansive mappings on C with F(T)∩F(S)≠. This paper deals with approximating common fixed point of T and S through an iterative sequence with errors. Under some suitable assumptions on the iteration parameters {an}, {bn}, {cn}, {a’n}, {b’n}, and {c’n}, we have proved that the iterative sequence with errors converges weakly to some common fixed point of T and S. We also investigate the strong convergence of such iterative sequence.

## 参考文献/References:

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