摘要
研究一致凸Banach空间中两族集值渐近非扩张映射的公共不动点逼近问题.构造关于两族集值渐近非扩张映射的有限步迭代序列;在适当条件下,证明了该序列收敛到公共不动点的一些强收敛定理;改进和推广了一些相关文献的结果.
The common fixed points of two finite families of set-valued asymptotically nonexpansive mappings were studied in real uniformly convex Banach spaces. A finite-step iteration process for these two families was introduced, and some strong convergence theorems for this scheme were proved. The results improve and extend some recent relative results.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第1期41-46,75,共7页
Journal of East China Normal University(Natural Science)
基金
江苏省研究生培养创新工程(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
集值渐近非扩张映射
有限步迭代序列
公共不动点
uniformly convex Banach space
set-valued asymptotically nonexpansive mapping
finite-step iteration process
common fixed points
