摘要
引入了一种带扰动的Krasnoesl'skii-Mann迭代算法,在一致凸Banach空间中针对非扩张映像证明了这种算法的弱收敛性,改进并推广了Reich的一个弱收敛定理.最后将所得结果应用到求解分裂可行性问题.
In this paper, a perturbed Krasnosel＇ skii Mann iterative algorithm is introduced, and the con- vergence of the proposed algorithm is established for nonexpansive mappings in Banach spaces. This result improves and generalizes a weak convergence theorem due to Reich. As an application the split feasibility problem is solved.
出处
《河北师范大学学报（自然科学版）》
CAS
2015年第5期383-386,共4页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(11071053)
关键词
一致凸BANACH空间
非扩张映像
不动点
带扰动的K-M迭代算法
弱收敛
uniformly convex Banach space
nonexpansive mapping
fixed point
Krasnosel
skii-Manniterative algorithm with perturbation~ weak convergence
