摘要
在凸度量空间中,引入一种关于两个有限渐近拟非扩张映射族的隐迭代序列,并在适当的条件下证明了该序列是柯西序列,进而证明了在完备的凸度量空间中该序列收敛到这两个有限渐近拟非扩张映射族的公共不动点.
In this paper, we introduce an implicit iteration process for two finite families of asymptotically quasi nonexpansive mappings in convex metric spaces and prove that the sequence is a Cauchy sequence in given condilions. Then, we prove that the sequence converges to the common fixed point of the lwo finile families of asymptotically quasi-nonexpansive mappings in complete convex metric spaces.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期96-100,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(11226228)
河南省教育厅自然科学研究项目(2011B110025)
河南省科技发展计划项目(122300410256)
关键词
隐迭代序列
公共不动点
渐近拟非扩张映射
凸度量空间
implicit iteration process
common fixed point
asymptotically quasi-nonexpansive mapping
convex nletrlc space
