一类反向混合单调算子方程解的存在性定理

The Existence of the Solutions of some Anti-Mixed Monotone Operator Equations

利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的反向混合单调算子方程解的存在性,并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 theory and non-symmetry iteration method, it is studied the existence of solutions of anti-mixed monotone operator equations without continuity and compactness conditions. And the iterative sequences which converge to solution of operator equations and the error estimates are also given. The results presented here improve and generalize some corresponding reluses.