Banach空间中严格伪压缩映射隐迭代过程的收敛性

Convergence of Implicit Iteration Process for Strictly Pseudocontractive Map in Banach Space

在一致凸Banach空间中证明了有限个严格伪压缩映射族的隐迭代过程弱收敛于不动点的充分条件是要求此空间满足opial条件.论文中所得到的结果是对以前结果的一种改进和提高.

Banach space,the necessary and sufficient condition for the convergence of implicit iteration process for strictly pseudocontractive maps is the space satisfy the opial condition. The result is a modification and improvement.