一类非线性映射迭代程序的稳定性问题

Stability Problem of Iteration Procedures for a Class Nonlinear Mapping

在一致光滑Banach空间中,使用分析的基本理论和Ishikawa迭代技巧,在没有Lipschitzian假设的前提下,给出了某类具有值域有界的连续Φ广义伪压缩映射的Ishikawa迭代程序稳定性的一些结果,该结果改进和扩展了近期相关的结果.

Without Lipschitz assumption in real uniformly smooth Banach space, by virtue of some analysis theory and Ishikawa iteration techniques, the stable results of the Ishikawa iteration procedures have been given for one class of contiuous and Φ-generalized pseudocontractive mapping with a bounded range. The results improve and extend the recent corresponding results.