摘要
在自反的严格凸的光滑Banach空间中给出了一种关于拟φ-非扩张映像族的公共不动点的新混杂算法,并利用广义投影算子和K-K性质等技巧证明了该算法的强收敛性.所得结果是近期相关结果的改进与推广.
The purpose of this article is to propose a new hybrid projection algorithm and prove a strong convergence theorem for a family of quasi C-asymptotically nonexpansive mappings by using new analysis techniques. Its results hold in reflexive, strictly convex, smooth Banach spaces with K-K property. The results of this paper improve and extend recent some relative results.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第20期233-239,共7页
Mathematics in Practice and Theory
基金
陕西省教育厅科研计划项目(11JK0486)
关键词
拟φ-非扩张映像族
混杂算法
K—K性质
强收敛定理
A family of quasi φ-nonexpansive mapping
Hybrid algorithm
K-K propertyStrong convergence theorems