一类反向混合单调算子方程解的存在唯一性定理

The Existence and Uniqueness Theorems of Solutions for the Systems of Some Anti-mixed Monotone Mperator Equations

运用锥与半序理论和非对称迭代方法,讨论Banach空间一类反向混合单调算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果改进和推广了某些已有结果.

Using the cone and partial theory and non-symmetry iteration method,this paper studies the existence and uniqueness of solutions for a class of anti-mixed monotone operator system of equations in Banach spaces.The iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results.