关于拟非扩张映像有限族的一种新的杂交投影算法  

A New Hybrid Projective Algorithm for a Finite Family of Quasi-Nonexpansive Mappings

作　　者：白随平[1] 李子芳[1] 姚沛 BAI Sui-ping;LI Zi-fang;YAO-Pei(School of Mat hematics and Statist ics,Hebei University of Economics and Business,Shijiazhuang 050061,China;Department of Electronic Commerce,Shijiazhuang Information Engineering Vocational College,Shijiazhuang 050035,China)

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061 [2]石家庄信息工程职业学院电子商务系,河北石家庄050035

出　　处：《数学的实践与认识》2019年第18期268-272,共5页Mathematics in Practice and Theory

摘　　要：在Hilbert空间中针对拟非扩张映像的有限族,我们提出了一种新的杂交投影算法,使用新的分析技巧证明了算法所生成的序列强收敛于拟非扩张映像族的公共不动点,最后我们给出数值实验表明所提出的算法的有效性.In Hilbert spaces,a new hybrid projective algorithm for common fixed points of a finite family of quasi-nonexpansive mappings is proposed.A strong convergence theorem of the common fixed points of a finite family of quasi-nonexpansive mappings is proved by using new analysis techniques.At the last,a numerical experiment is also included to explain the effectiveness of the proposed algorithm.

关 键 词：拟非扩张映像有限族 杂交投影算法 强收敛 数值实验 

分 类 号：O177.1[理学—数学]