带有次线性扰动的算子的不动点定理及应用  

New Theorems of Fixed Points for Operators with Sublinear Perturbation and Applications

作　　者：刘春晗[1] 张克玉[1] 王鑫[2] 

机构地区：[1]山东教育学院数学系,山东济南250013 [2]徐州师范大学数学科学学院,江苏徐州221116

出　　处：《济南大学学报（自然科学版）》2008年第4期427-431,共5页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(10671167)

摘　　要：利用半序的方法研究方程A(x,x)+Bx=x,其中A是具有某种凹凸性的混合单调算子,B为次线性算子,在非紧非连续的假设下得到的解存在唯一性,并且应用到非线性积分方程中。By using the partial order method, equation A （x, x） ＋ Bx = x is discussed, where A is mixed monotone operators with concavity and convexity, and B is a sublinear operator. Without any Compactness or continuity of the operators, the new fixed point theorems are obtained. In the end, the new results are applied to nonlinear integral equations.

关 键 词：回凸算子 次线性算子 不动点 

分 类 号：O175.91[理学—数学]