一类单调算子不动点定理的推广

The Generalization of Fixed Point Theory about Some Monotone Operators

运用非对称迭代方法讨论了一类减算子和反向混合单调算子的不动点存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果推广了某些已知结果.

By using the non-symmetric iterative method, it is studied the existence uniqueness of fixed point for a class of anti-mixed monotone operators and decreasing operators. 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 result.