φ-强增生算子方程解的Noor三步迭代收敛率的估计

Convergence Rate Estimate of Noor Three-step Iterative for φ-Strongly Accretive Operator Equations

使用分析的技巧,在实Banach空间中研究了φ-强增生算子方程解的带误差的Noor三步迭代逼近问题.在一定条件下,建立了φ-强增生算子方程解的带误差的Noor三步迭代的收敛性与稳定性定理,并且提供了更为一般的收敛率的估计.

By using analsis techniques, approximation problem of Noor three-step iterative sequence with errors for the equation with a Lipsehitz φ-strongly accretive operators was studied in arbitrary real Banach spaces. Convergence and stability theorems of Noor three-step iterative sequence with errors for equation with a Lipschitz φ-strongly accretive operators were established under the certain conditions, and a general convergence rate estimate was also given in our results.