半序空间中三元算子方程的可解性问题的研究

THE SOLVABILITY OF TRIPLED OPERATOR EQUATIONS IN PARTIALLY ORDERED SPACES

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 tneory of cune, the existence and uniqueness of solution for tripled and mixed g-monotone operator equa- tion Lx = N（x, x, x） is discussed in complete metric spaces and real Banach spaces, respectively. The main results presented improve the corresponding results in recent literatures.