一类反向混合单调算子方程组解的存在惟一性

Existing uniqueness 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,同时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的结果。

The cone, partial theory and non-symmetry iteration method was used to deal with the existing uniqueness of solutions to equations for a class of anti-mixed monotone operator system in Ba- nach spaces. And the iteration sequences which converge to solution of operator equations and the er- ror estimates were also given. For its application, an analysis was given to the existing uniqueness of solutions to equations for non-anti-mixed monotone operator system of equations. The results can improve some corresponding results for mixed monotone operators.