摘要
本文利用非对称迭代方法,得到了一类既没有连续性也没有紧性而只满足某些偏序条件的混合单调算子不动点的存在性、唯一性定理.同时建立了迭代收敛性以及迭代的误差估计.
In this paper,non-symmetric iteration method is used to study the existence and uniqueness of fixed point for some mixed monotone operators with some ordered construction,but without continuous and compact condition.Moreover we present the convergence and error estimate of iteration sequences for such mixed monotone operators.
基金
四川省高等教育人才培养质量和教学改革项目"民族预科数学教育教学研究"(川教函〔2009〕288号文件)成果之一
关键词
混合单调算子
正规锥
不动点
mixed monotone operator
normal cone
fixed point
