一类算子方程迭代序列的稳定性

Stability of iterative sequences for a class of operators equation

在实Banach空间中研究Lipschitz的k-次增生算子方程x+Tx=f解的带误差的Ishikawa迭代序列稳定性问题,并给出{y_n}收敛到方程x+Tx=f的唯一解q的估计式,从而推广和改进了文献中的相应结果.

Stability problems of Ishikawa iterative sequences with error for Lipschitz k-subaccretive operators equation were studied in real Banach space. A general estimate formula of the unique solution q that { yn}converged to the equation x ＋ Tx = f was given,which extended and improved the corresponding results in some references.