含k-次增生算子的非线性方程的迭代程序

Iterative process of nonlinear equations involving k-subaccretive operators.

建立了一般Banach空间中含k-次增生算子的非线性方程的带混合误差的Ishikawa迭代序列的强收敛性的一般性定理,所得的是任卫云等和LIU Li-shan等于最近得到的主要结果的多方面的拓广和改进,且所用方法不同于他们.

Some strong convergence general theorems for the Ishikawa-type iteration procedure with mixed errors for constructing solutions of nonlinear equations of k-subaccretive operators in general Banach space were established. A quite different method was used and the results improve, extend and unify those obtained by REN Wei-yun and HE Zhen, LIU Li-shan and the other authors in some aspects.