摘要
利用单调迭代方法、数学归纳法、锥理论方法研究了具有半序的Banach空间反向混合单调算子的不动点的存在性与唯一性,得到的结论推广了反向混合单调算子不动点的存在性与唯一性.最后,将所得到的结论应用于Hammerstein积分方程中.
In order to explore the existence and uniqueness of triple fixed point of reverse mixed monotone operator which in partially ordered Banach space, the mixed monotone iterative method and mathematical induction and cone theory are used. The results generalize the existence and uniqueness of fixed point of reverse mixed monotone operator.
作者
谢卢梦
薛西锋
Xie Lumeng Xue Xifeng(Department of Mathematics, Northwest University, Xi＇an 710127, China)
出处
《纯粹数学与应用数学》
2017年第1期60-68,共9页
Pure and Applied Mathematics
基金
陕西省自然科学基金(2012JM1017)
关键词
反向混合单调算子
正规锥
不动点
迭代序列
reverse mixed monotone operator, normal cone, fixed point, iteration sequence
