讨论了一类混合单调算子方程组解的存在唯一性问题,得到了若干不具有连续性和紧性条件的混合单调算子,增算子和减算子新的不动点定理,改进和推广了文[1]-[6]的结果.
in this paper,we discuss the existence, uniqueness of solution for a class of systems of mixed monotone operator equations, and obtain some new fixed point theorems of mixed monotone operators, increasing operators and decreasing operators which have no continuous and compact conditions, which generalize and improve the related results in [1] -[6].