摘要
研究一致凸Banach空间中两族渐近非扩张映射的公共不动点逼近问题.构造关于两族渐近非扩张映射的隐迭代序列,并在适当条件下,证明了该序列收敛到公共不动点的一些强弱收敛定理.
The common fixed points of two finite families of asymptotically nonexpansive mappings are studied in re- al uniformly convex Banach spaces. An implicit iteration process defined by two finite families of asymptotically nonexpansive mappings is introduced. And some strong and weak convergence theorems to a common fixed point for this scheme are proved.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2013年第1期27-31,共5页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(10972151)
江苏省研究生培养创新工程项目(CXZZ11_0950)
苏州科技学院研究生科研创新计划(SKCX11S_054)
关键词
一致凸BANACH空间
渐近非扩张映射
隐迭代序列
公共不动点
uniformly convex Banach space
asymptotically nonexpansive mapping
implicit iterative sequence
common fixed point
