摘要
设E是半序Banach空间,本文在空间C[I,E]中利用锥理论和单调迭代技巧,给出了混合单调算子最小最大耦合不动点存在性定理及其迭代求法.
Letting E be a Banach space, some new theorems of fixed points for mixed monotone operators in C [I,E] are obtained by using the cone theory and monotone iterative technique. The existence and iterative method of maximal and minimal coupled fixed points for a kind of mixed monotone operators are given.
出处
《山西大同大学学报（自然科学版）》
2008年第4期1-3,5,共4页
Journal of Shanxi Datong University(Natural Science Edition)
基金
国家自然科学基金资助项目[10671167]
关键词
半序BANACH空间
混合单调算子
耦合不动点
迭代方法
partial order Banach spaces
mixed monotone muhivalued operators
coupled fixed points
iterative technique
