格空间中算子方程解的存在唯一性定理

Existence and uniqueness theorems of solution for operator equation in Riesz space

利用半序方法在u0完备的Archimedean向量格中讨论了算子方程解的存在唯一性及一类混合单调算子方程组解的存在唯一性,得到了相应的结果.

Using the partial order method,we disscuss the existence and uniqueness of solution for operator equation,and then study the existence and uniqueness of solution for a class of mixed monotone operator equations in u0-complete Archimedean Riesz spaces,obtaining the relevant results.