摘要
在Banach空间的框架下,对两个有限族一致L-Lipschitz映象引入了一个新的平行迭代算法,并在适当的条件下,证明了该迭代算法强收敛于这两族映象的公共不动点.结果是新的,它推广和改进了一些人的最新结果.
In this paper,a new parallel iterative algorithm for two finite families of uniformly L-Lipschitzian mappings is introduced.By using the iterative algorithm, under suitable conditions,some strong convergence theorems to approximating a common fixed point for two finite families of uniformly L-Lipschitzian mappings in the framework of Banach spaces are proved.The results presented in the paper are new which improve and extend the recent results of several authors.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2010年第6期1209-1216,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(11071169)
浙江省自然科学基金资助项目(Y605191)