摘要
提出一种新的迭代算法用于求解实一致光滑Banach空间上可数非扩张映像族的公共不动点.在一定条件下证明了迭代算法产生的序列强收敛到一个公共不动点,并且此不动点也是一个变分不等式的解.此结果改进和推广了已有的相关结果.
A new iterative algorithm is proposed for finding the common fixed points of an countable infinite family of nonexpansive mappings in a real uniformly smooth Banach space. Under certain conditions, the fact that the sequence generated by the iterative algorithm converges strongly to a common fixed inequality, is proved. These results improve and point, which also solves some variational extend the previous relevant results.
出处
《应用数学与计算数学学报》
2013年第1期75-86,共12页
Communication on Applied Mathematics and Computation
基金
中国民航大学研究生创新基金资助项目(YJSCX12-22)
关键词
非扩张映像
不动点
迭代算法
强收敛性
nonexpansive mapping
fixed point
iterative algorithm
strong convergence
