摘要
在CAT(0)空间中引入渐近非扩张映射族的迭代序列,研究了该迭代序列的Δ-收敛性和强收敛性,分别证明了迭代序列Δ-收敛和强收敛到这族渐近非扩张映射的公共不动点.
In this paper,we introduce an iterative sequence of a family of asymptotically nonexpansive mappings in CAT（0）spaces and study theΔ-convergence and strong convergence of the iterative sequences. We obtain the results that the iteration sequenceΔ-converges and strongly converges to the common fixed point of the family of asymptotically nonexpansive mappings.The results generalize the corresponding results of other literature in the CAT（0）space.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第4期59-65,共7页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(11226228)
关键词
渐近非扩张映射
公共不动点
Δ-收敛
强收敛
CAT(0)空间
asymptotically nonexpansive mapping
common fixed point
Δ-convergence
strong convergence
CAT（0）space
