带有正线性项的混合单调算子的不动点定理及其应用(英文)  

Fixed point theorems for mixed monotone operator with positive linear term and applications

作　　者：徐星[1] 张春花[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3期40-43,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：supported by the National Natural Science Foundation of China(10371010)

摘　　要：讨论了一类带有正线性项的混合单调算子,借助于迭代技巧,给出这类算子不动点的存在及其唯一性,并将结果应用于一类非线性积分方程中去.In this paper,a class of mixed monotone operators with positive linear term is discussed.With the aid of iterative technique,the existence and uniqueness of fixed points are obtained.Finally,the results are applied to a nonlinear integral equation.

关 键 词：混合单调算子 正线性算子 不动点 

分 类 号：O175.91[理学—数学]