拟非扩张映射分裂公共不动点问题的收敛性定理  

Convergence Theorems for Split Common Fixed Point Problems of Quasi-nonexpansion Maps

作　　者：李蓉 何振华 LI Rong;HE Zhenhua(Office of Academic Affairs,Guangxi University of Finance and Econom ics,Nanning 530003,China;School of Infor mation and Statistics,Guangxi University of Finance and Econom ics,Nanning 530003,China)

机构地区：[1]广西财经学院教务处,广西南宁530003 [2]广西财经学院信息与统计学院,广西南宁530003

出　　处：《广西民族大学学报（自然科学版）》2020年第2期52-57,共6页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：国家自然科学基金项目(61673296);广西财经学院基金项目(BS2019026).

摘　　要：讨论三个不同空间的分裂公共不动点问题,并建立两个收敛算法,证明了一个算法具有弱收敛性,另一个具有强收敛性,推广了一些文献的结果.It is discussed to the split common fixed point problem of three different spaces.Two con-vergence algorithms are given and they are proved that one algorithm has a weak convergence property and the other has a strong convergence property.The results obtained in this paper generalize and improve some results in the literature.

关 键 词：分裂公共不动点 拟非扩张映射 迭代 收敛 

分 类 号：O177.91[理学—数学]