混合单调算子的不动点定理及应用  

A fixed point theorem of mixed monotone operator and its applications

作　　者：张春花[1] 徐星[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：《徐州师范大学学报（自然科学版）》2011年第4期33-37,共5页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10371010)

摘　　要：讨论了一类带有正线性项的混合单调算子,借助迭代技巧得到一个新的不动点定理。In this paper,a class of mixed monotone operators with postive linear term is discussed.With the aid of iterative technique,a new fixed point theorem is obtained.Finally,the results are applied to investigating the existence of postive almost periodic solutions for a nonlinear intergral equation.

关 键 词：混合单调算子 正线性算子 不动点 概周期解 

分 类 号：O175.91[理学—数学]