一类凹与凸算子的推广  

Generalizations for a Class of Concave and Convex Operators

作　　者：翟成波[1] 王文霞[2] 张玲玲[3] 

机构地区：[1]山西大学数学科学学院,太原030006 [2]太原师范学院数学系,太原030012 [3]太原理工大学理学院,太原030024

出　　处：《数学学报（中文版）》2008年第3期529-540,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10371068);山西省自然科学基金(200611013)

摘　　要：运用锥的性质以及单调迭代技巧给出了一类广义凹算子与凸算子正不动点的存在唯一性,并讨论了算子特征值方程的性质.作为应用,利用所获结果研究了一类积分方程正解的存在唯一性.The existence and uniqueness of positive fixed points for a class of generalized concave and convex operators is obtained by means of the properties of cone and monotone iterative technique, and the properties of eigenvalue equations for these operators are also given. As an application, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a class of integral equations.

关 键 词：凹与凸算子 正规锥 不动点 

分 类 号：O177.91[理学—数学]