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.