多阶段决策过程中效益函数的存在定理

Some Existence Theorems of Benefit Function in Multistage decision Processes

给出完备格中单调算子的不动点定理，应用它研究多阶段决策过程中出现的一类泛函方程，得到了效益函数的存在性和唯一性定理及泛函方程解的误差估计，推广和改进了已有的某些结果．

This paper apply the theory of fixed point to the equation in the multistage decision process and discuss monotone increasing operators in complete lattice.The existence and uniqueness theorems on the benefit function are obtained.