混合单调算子方程组解的存在唯一性定理

The Existence and Uniqueness of Solutions for the Systems of Mixed Monotone Operator Equations

利用锥的有关理论和单调迭代技巧,讨论了一类混合单调算子方程组,得到其解的存在唯一性定理,所得结果推广了有关文献中相应的结论。

By the cone theory and monotone iterative technique, this paper discusses a class of mixed monotone operator equations, and the existence uniqueness of solutions is obtained for the systems of mixed monotone operator equations. The result presented here are the essential improvement for the corresponding results.