非线性Φ 伪压缩映象不动点的具误差的迭代过程

该文的目的是要引入比重要的 强伪压缩映象更一般的Φ 伪压缩映象，并且在更一般的假设下，用具误差的 Ishikawa和 Mann迭代过程去研究这类映象不动点的迭代逼近问题。研究结果表明：Φ 伪压缩映象T的一致连续性保证了在任意实Banach空间E中，Ishikawa迭代序列强收敛于T的唯一不动点；进一步，如果E是一致光滑的则T的连续性是不必要的

Iterative Processes with Errors for Fixed Points of Nonlinear Φ-Pseudocontractive Mappings

The purpose of this paper is to introduce Φ pseudocontractive mappings-aclass of mappings which is much more general than the important class of　 strongly pseudocontractive mappings and to study approximate problems of fixed point for the mappings by Ishikawa and Mann iterative processes with errors in  more general settings. The results presented in this paper show that the uniformly continuity of mapping T ensures the Ishikawa iterative sequence converges strongly to unique fixed point of T in a Banach space X; if X is uniformly smooth then the continuity of T is not necessary.