一类非线性算子的带误差的Ishikawa迭代程序及其稳定性

建立了任意实Banach空间中带误差的Ishikawa迭代程序逼近Lipschitz强伪压缩算子的不动点的一般性定理，指出已被广泛广泛研究的Ishikawa迭代序列的稳定性问题仅是带误差的Ishikawa迭代程序的特例，作为直接的应用，用不同于通常的方法证得任意实Banach空间中的Ishikawa迭代序列关于Lipschitz强伪压缩算子是稳定的，这些推广或发展了近期许多相应的结果。

ISHIKAWA ITERATION PROCEDURES WITH ERRORS OF CERTAIN NONLINEAR OPERATORS AND STABILITY OF THE PROCEDURES

The general theorem on the Ishikawa iterative approximation with errors of fixed point for Lipschitz strongly pseudo contractive operators is obtained in arbitrary real Banach spaces.It is pointed out that the stability problem of Ishikawa iteration procedures which has been investigated extensively is just a special case of the Ishikawa iteration procedures with errors.As the direct application,using unusual methods,it is proved that certain Ishikawa iteration procedures are stable with respect to Lipschitz strongly pseudocontractive operators.The results generalize or extend the recent corresponding results.