Φ-伪压缩映象带混合型误差的迭代序列的强稳定性

引入带混合型误差的 Ishikawa和 Mann迭代序列 ,在没有 D是有界闭集与多值映象 T是一致连续的较弱条件下 ,在实 Banach空间中研究了多值Φ -伪压缩映象不动点的带混合型误差的 Ishikawa和 Mann迭代序列的逼近问题 ,使用与文献完全不同的方法 ,建立了带混合型误差的 Ishikawa和 Mann迭代序列的强稳定性定理 ,从而统一和发展了几位作者早期与最近的相关结果 .

Strongly Stability of Iterative Sequences with Mixed Errors for φ-Pseudo-contractive Mappings

By introducing the concept for Ishikawa iterative sequence with mixed errors and Mann iterative sequence with mixed errors,under the lack of assumption that D is bounded and multi-valued mappings T is an uniformly continuous, Ishikawa and Mann iterative sequences with mixed errors approximations and stability problem of fixed point for multi-valued Φ-pseudo-contractive mappings in general Banach space are studied. By using method that is entirely different from references,some results on strong convergence theorem that Ishikawa and Mann iterative sequence is strongly stability are obtained,which unify and extend corresponding results obtained early and recently by several authors.