一类非线性二元算子方程组的迭代求解方法

摘要

利用非线性泛函分析中的锥与半序理论和单调迭代方法，讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性，给出了迭代序列收敛于解的误差估计，所得结果是某些已知结果的本质改进和推广。%By using the cone and partail ordering theory,the monotonous iteration method in nonlinear funtional analysis,the existence and uniqueness of solutions of non-monotone binary operator system of equations without continuity and compactness conditions are studied. And the iteration sequences which converge to solution of operator equations and the error estimates are also given. The presented results improve and generalize some corresponding results.