【摘要】 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 .更多还原

【Abstract】 The purpose of this paper is to introduce Φ-pseudocontractive mappings-a cla ss of mappings which is much more general than the important class of -s trongly 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 unif ormly 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.更多还原