混合单调算子耦合不动点的迭代求法及其应用  

Coupled Fixed Point of Mixed Monotone Multivalued Operators and Its Applications

作　　者：邢慧[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏徐州221116

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]

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.

关 键 词：半序BANACH空间 混合单调算子 耦合不动点 迭代方法 

分 类 号：O177.2[理学—数学]