摘要
设E是任意实Banach空间 ,T :E→E是Lipschitz增生算子 ,在没有条件limn→∞αn =limn→∞βn =0 之下 ,证明了非线性方程x +Tx =f解的具误差的Ishikawa迭代逼近 ,并提供了收敛率的估计 。
Let E be an arbitrary real Banach, and T:E→E be a Lipschitz accretive operator. Under the lack of the condition lim n→∞α n= lim n→∞β n=0, it is proved that Ishikawa iterative space approximation with errors for solutions of the nonlinear equation x+Tx=f, our argument provides a convergence rate estimate. This paper generalizes and extends some recent corresponding results.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
2002年第4期373-375,共3页
Journal of Sichuan Normal University(Natural Science)