凝聚映象的锥拉或压不动点定理及其应用  

THE FIXED POINT THEOREMS FOR CONE STRETCHING OR COMPRESSION ON THE CONDENSING MAPPING AND THEIR APPLICATIONS

作　　者：赵从江[1] 

机构地区：[1]中国民航飞行学院计算机与信息工程系,四川广汉618307

出　　处：《数学杂志》2004年第3期280-286,共7页Journal of Mathematics

基　　金：中国民航飞行学院科研基金 (J2 0 0 1 12 )

摘　　要：本文建立凝聚映象的锥拉、压不动点定理和更为广泛的范数形式凝聚映象的锥拉、压不动点定理以及对非锥映象的表现形式 ,然后利用所得的结果来研究凝聚算子的固有值的全局特征和算子方程的非零解并用到YpbIcoH算子上 .最后研究一类非线性积分方程的非零解 。This paper sets up the fixed point theorems for cone stretching or compression and more extensive fixed point theorems for cone stretching or compression in their normal forms on the condensing mapping. At the same time, we get corresponding results for noncone mapping in their normal forms. Furthermore,we utilize our results to study the global characteristics of the eigenvalue on the condensing operator and the nonzero solution of operator equation, and application to YpbIcoH operator. Finally, this paper studies the nonzero solution for a class of nonlinear integral equations, and obtains better new results.

关 键 词：凝聚映象 半序 锥拉不动点 压不动点 固有值 全局特征 非零解 

分 类 号：O177.91[理学—数学]