非光滑算子方程的单调迭代方法

On the Monotone Iterative Methods of Nonsmooth Operator Equations

本文首先在PTL空间中研究了非光滑算子方程Fx=O的具有单调收敛性的显式迭代方法,得到了单调列的存在收敛性结果。其次,在半序Banach空间中给出了达代列收敛速度的估计。最后,本文将所讨论的方法用于两点边值问题的求解。

In this paper we stuay the monotone iterative methods of nonsmooth Operator equation Fx=0 with F from a PTL space to another PTL space. some existence-convergence methods are obtained and the convergent rates in PB spaces are estimated. In addition. for an application of our method, we investigate a two-point boundary value problem.