一致L-Lipschitz的渐近拟伪压缩型映象迭代收敛的充要条件  

A NECESSARY AND SUFFICIENT CONDITION FOR THE ITERATIVE SEQUENCE CONVERGENCE TO THE FIXED POINT OF UNIFORMLY L-LIPSCHITZIAN ASYMPTOTICALLY QUASI PSEUDO-CONTRACTIVE TYPE MAPPING

作　　者：向长合[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《系统科学与数学》2008年第4期447-455,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10471159);重庆市教委项目(KJ070806)资助课题.

摘　　要：设E是任意的实Banach空间,C是E的非空凸子集(C可以是E的无界子集),T:C→C是一致L-Lipschitz的渐近拟伪压缩型映象,在对参数的一些限制条件下,该文给出了带误差的修改的Ishikawa迭代序列强收敛于T的不动点的充要条件.Suppose E is a real Banach space, C is a nonempty convex subset of E（C may be a unbounded subset of E）, T ： C → C is a uniformly L-Lipschitzian asymptotically quasi pseudo-contractive type mapping, under some restrictive conditions on the parameters, a necessary and sufficient condition is given for the modified Ishikawa iterative sequence with error to converge strongly to a fixed noint of T.

关 键 词：渐近拟伪压缩型映象 带误差的修改的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学] O241.6[理学—基础数学]