摘要
在p 一致凸的Banach空间内,证明了渐近非扩张映象的Mann迭代程序的收敛性和T 稳定性,所得结果推广了若干文献(如Proc.Am.Math.Soc.,1972,35(1):171;J.Math.Anal.Appl.,1991,158:407;J.SichuanNormalUniversity(Nat.Sci.),1993,16(4):43;ComputersMath.Appl.,1999,7:1等)的相应结果.
In this paper, the convergence and stability of the Mann iteration for asymptotically nonexpansive mappings in a puniformly convex Banach space. Our results generalize the corresponding results of Golbel, Kirk (Proc. Am. Math. Soc.,1972,35(1):171), Schu (J. Math. Anal. Appl.,1991,158:407), Ding (J. Sichuan Normal University (Nat. Sci.),1993,16(4):43) and Huang (Computers Math. Appl.,1999,7:1) etc.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2003年第4期348-351,共4页
Journal of Sichuan Normal University（Natural Science）
关键词
渐近非扩张映象
P-致凸的Banach空间
T-稳定
Convergence and stability of fixed point
In Banach spaces which are p-uniformly convex
T-stable
