拟非扩张多值映像与全渐近严格伪压缩映像的分裂公共不动点问题  

The Split Common Fixed Point Problem for a Family of Quasi-nonexpansive Multi-valued Mappings and a Total Asymptotically Strict Pseudocontractive Mapping

作　　者：唐金芳[1] 

机构地区：[1]宜宾学院数学学院,宜宾644000

出　　处：《应用数学学报》2014年第1期119-126,共8页Acta Mathematicae Applicatae Sinica

基　　金：四川省科技厅基础研究项目(2012JYZ011);四川省教育厅重点项目(13ZA0199)资助

摘　　要：本在Hilbert空间中讨论了一族拟非扩张多值映像与全渐近严格伪压缩映像的分裂公共不动点问题的迭代算法,在适当的条件下证明了此迭代序列的弱收敛性和强收敛性.文中所得到的结果,推广并改进了最近一些人所发布的新结果.In real Hilbert spaces, the algorithm for solving the split common fixed point problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudocontractive mapping is studied. Under suitable conditions the weak convergence and the strong convergence of the sequence are proved. The results extend and improve the corresponding results announced by many others.

关 键 词：拟非扩张多值映像 全渐近严格伪压缩映象 分裂公共不动点 强收敛定理 

分 类 号：O177.5[理学—数学]