Banach空间中非扩张映像和渐进非扩张映像的分裂公共不动点  

The Split Common Fixed Point Problem of Nonexpansive Mapping and Asymptotically Nonexpansive Mapping in Banach Spaces

作　　者：唐金芳[1] 董建[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》2015年第12期70-73,共4页Journal of Yibin University

基　　金：四川省科技厅科研项目(2015JY0165);宜宾学院科研项目(2013YY06)

摘　　要：在两个Banach空间框架下介绍了非扩张映像和渐进非扩张映像的分裂公共不动点问题.在适当的条件下构造了迭代序列,使该序列收敛于非扩张映像和渐进非扩张映像的分裂公共不动点.The split common fixed point problem of nonexpansive mapping and asymptotically nonexpansive mapping was introduced in the setting of two Banach spaces. Under appropriate conditions, the iterative sequence was constructed to converge on the split common fixed point of nonexpansive mapping and asymptotically nonexpansive mapping.

关 键 词：BANACH空间 非扩张映像 强收敛定理 分裂公共不动点 

分 类 号：O177.5[理学—数学]