两个有限族一致L-Lipschitz映象的平行迭代算法的强收敛定理  

Strong Convergence Theorems of a Parallel Iterative Algorithm for Two Finite Families of Uniformly L-Lipschitzian Mappings

作　　者：谷峰[1,2] 

机构地区：[1]杭州师范大学应用数学研究所,杭州310036 [2]杭州师范大学数学系,杭州310036

出　　处：《数学学报（中文版）》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)

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.

关 键 词：渐进伪压缩映象 平行迭代算法 一致L-Lipschitzian映象 

分 类 号：O177.91[理学—数学]