拟非扩张映像族的公共不动点的迭代方法  

An Iterative Algorithm on Common Fixed Points for a Family of Quasi-Nonexpansive Mappings

作　　者：张安[1] 郭金题[2] 周海云[3,4] 

机构地区：[1]北京电子科技职业学院基础部,北京100026 [2]河北经贸大学数统学院,河北石家庄050061 [3]军械工程学院数学研究所,河北石家庄050003 [4]河北师范大学数学研究所,河北石家庄050016

出　　处：《数学的实践与认识》2010年第16期144-148,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10771050)

摘　　要：引入了修正的杂交投影迭代算法,用来构造Hilbert空间中拟非扩张映像族的公共不动点.使用新的算法证明了几个强收敛定理.新算法的优点是不要求映像具有次闭性质.In this paper, a modified hybrid projection iterative algorithms is introduced for constructing commn fixed points of a family of closed quasi-nonexpansive mappings in Hilbert spaces. With the modified iterative algorithm, several strong convergence theorems are proved. The main advantage of the new algorithms lies in the fact that the strong convergence results are obtained without making use of demi-closedness property for mappings considered here.

关 键 词：拟非扩张映像族 闭映像 修正的杂交投影算法 HILBERT空间 强收敛 

分 类 号：O177.91[理学—数学]