一类反向混合单调算子方程组解的存在惟一性定理

The Existence and Uniqueness Theorems of Solutions of Some Anti-mixed Monotone Operator System of Equations

运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子方程组解的存在惟一性,并给出了迭代序列收敛于解的误差估计,并推广讨论了非反向混合单调算子方程组解的存在惟一性,所得结果改进和推广了混合单调算子方程某些已知相应结果.

Using the cone, partial theory and non - symmetry iteration method, the paper discusses the existence and uniqueness of solutions of some anti - mixed monotone operator of equations in Banach space. And the iteration sequences which converge the solution of operator equations and the error estimations are given. It also discusses something about non - anti - mixed monotone operator system of equations. The results improve and generalize some corresponding results of mixed monotone operators.