k-次增生算子方程解的迭代收敛性与稳定性

Convergence and stability of iteration process for equation of Lipschitz k-subaccretive operator

在任意实Banach空间中,研究了Lipschitz的k-次增生算子方程x+Tx=f的解的收敛性与稳定性问题,并给出了收敛率的估计式,从而在很大程度上推广了一些已知的结果.

Convergence and stability of iteration process for equation x ＋ Tx =f with a Lipschitz k-subaccretive operators are studied in arbitary real Banach spaces. Furthermore, a general convergence rate estimate is given in our results, which largely extend and improve the corresponding results in some references.