一类混合单调算子的不动点定理及其应用

FIXED POINT THEOREM FOR A CLASS OF MIXED MONOTONE OPERATORS AND ITS APPLICATIONS

本文对一类重要的混合单调算子证明了不动点的存在、唯一与逼近定理，并应用于研究动态规划中泛函方程的正解问题．

An existence, uniqueness and approximation theorem of fixed point for a class of important mixed monotone operators is established and applications to the positive solutions of functional equations in dynamic programming are given.