在完备度量空间和实Banach空间中,利用半序方法和锥理论,研究了三元混合$g$-单调算子方程$Lx=N(x,x,x)$的解的存在唯一性问题, 所得结论推广和改进了已有文献中的重要结果.

By means of the techniques of partial order and the theory of cone, the existence and uniqueness of solution for tripled and mixed g-monotone operator equa- tion Lx = N(x, x, x) is discussed in cmplete metric spaces and real Banach spaces, respectively. The main results presented improve the corresponding results in recent literatures.