CAT(0)空间中渐进非扩张映象的强收敛定理  

The Strong Convergence Theorem of Asymptotically Nonexpansive Mappings In CAT(0) Spaces

作　　者：董建[1] 唐金芳[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644007

出　　处：《宜宾学院学报》2014年第12期7-10,共4页Journal of Yibin University

基　　金：四川省教育厅项目(14ZA0271);宜宾学院科研项目(2013YY06)

摘　　要：在CAT(0)空间中对三个渐进非扩张映像构造了迭代算法,在适当的条件下证明了该算法强收敛于它们的公共不动点,所得结果推广了最近一些学者的研究结论.The algorithm for solving the common fixed point problem of three asymptotically nonexpansive mappings wasstudied in CAT（0） spaces. Under suitable conditions the strong convergence theorem to approximating a common fixedpoint of three asymptotically nonexpansive mappings was proved. The results extend and improve the corresponding re-sults announced by some others.

关 键 词：CAT(0)空间 渐进非扩张映像 强收敛定理 公共不动点 

分 类 号：O177.5[理学—数学]