纺织高校基础科学学报Issue(3):328-331,4.
混合单调算子对的新不动点定理及应用
Mixed monotone operators of the new fixed point theorems and its application
摘要
Abstract
In order to explore the existence and uniqueness of reverse mixed monotone operators and the mixed monotone operatorin partially ordered Banach space ,the monotone iterative method and mathe-matical induction as well as the properties of the ordering difference are used .Then the new fixed point theorems of them under some ordering difference relationship is obtained .The results generalize the re-lated conclusion .Finally the fixed point theorems of the mixed monotone operators are applied to initial value problem of the first order ordinary differential equation group .关键词
混合单调算子/正规锥/不动点/序差/归纳法Key words
mixed monotone operators/normal cone/fixed point/ordering difference/conjecture分类
数理科学引用本文复制引用
王维娜,薛西锋..混合单调算子对的新不动点定理及应用[J].纺织高校基础科学学报,2014,(3):328-331,4.基金项目
陕西省自然科学基金资助项目 ()