u_0-凹算子的不动点定理及其应用  

Fixed Point Theorems of u_0-concave Operators and Applications

作　　者：翟成波[1] 李永金[1] 

机构地区：[1]山西大学数学科学学院,太原030006

出　　处：《数学物理学报（A辑）》2008年第6期1023-1028,共6页Acta Mathematica Scientia

基　　金：国家自然科学基金(10371068);山西省自然科学基金(20041003)资助

摘　　要：该文利用锥的性质和单调迭代技巧讨论了u_0-凹算子正不动点的存在唯一性,所得结论改进并推广了已有的相关结果.作为应用,该文研究了一类Hammerstein积分方程正解的存在唯一性.In this paper, the existence and uniqueness of positive fixed points for u0-concave operators is obtained by means of the properties of cone and monotone iterative technique. The results extend and improve the corresponding results. As an application, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a class of Hammerstein integral equations.

关 键 词：uo-凹算子 正规锥 不动点 

分 类 号：O177.91[理学—数学]