定点非扩张凝聚映象的不动点及应用  

Fixed Point of Nonexpansive Condensing Mapping about a Constant Point and Their Application

作　　者：赵从江[1] 

机构地区：[1]中国民航飞行学院基础部,四川广汉618307

出　　处：《应用泛函分析学报》2002年第2期174-180,共7页Acta Analysis Functionalis Applicata

基　　金：中国民航飞行学院科研基金(J2001-12)

摘　　要：目的是研究定点非扩张凝聚映象的不动点的存在问题.然后用所得的新结果去研究非线性的 和Hammerstein积分方程的非平凡解和解的存在性,得到了新的可解定理.The purpose of this paper is to study existence problem of fixed point for a class of nonexpansive condensing mapping about a constant point. Furthermore, we apply the new results to study existence of nontrivial solutions and solutions for nonlinear and Hammerstein integral equation, some new resoluble theorems are given.

关 键 词：定点非扩张 凝聚映象 不动点 非零解 正解 

分 类 号：O177.91[理学—数学] O175.5[理学—基础数学]