一类非线性不连续集值算子方程的广义单调迭代法

General Monotone Iteration Method for a Class of Nonlinear Discontinuous Set-Valued Operator Equation

探讨了一类非线性不连续集值算子方程的数值解法 ,使用HeikkilaLakschmikantham提出的广义单调迭代法以及序理论的方法 ,在一种较为一般的条件下给出迭代解法并给出了若干解集收敛性的结果 .

This paper is devoted to dealing with a kind of nonlinear discontinuous set-valued equations by using ordering theory and the so-called general monotone iteration method. After the discrete scheme is given, some results about convergence are obtained.