一类混合单调算子方程解的Mann迭代序列的收敛性

The convergence of Mann iterative sequences of solutions for some mixed monotone operator equations

利用Mann迭代技巧,讨论了不具有连续性和紧性条件的混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.

By using Mann iterative technique, This paper studies the existence and uniqueness of solutions of mixed monotone operator equations without continuity and compactness conditions. And 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.