Ekeland变分原理与Caristi不动点定理的等价性  

THE EQUIVALENCE BETWEEN EKELAND'S VARIATIONAL PRINCIPLE AND CARISTI'S FIXED-POINT THEOREM

作　　者：王家玉[1] 

机构地区：[1]潍坊学院南校区基础部,山东省潍坊市261041

出　　处：《曲阜师范大学学报（自然科学版）》2001年第4期21-22,26,共3页Journal of Qufu Normal University(Natural Science)

摘　　要：用Br啨ｚｉｓ＿Ｂｒｏｗｄｅｒ定理给出Ｅｋｅｌａｎｄ变分原理与Ｃａｒｉｓｔｉ不动点定理的一个新的证明方法 。A new proof of Ekeland variational principle and Caristi fixed_point theorem by Brézis_Browder theorem are given, and the equivalence between them are proved.

关 键 词：EKELAND变分原理 Cariti不动点定理 等价性 Brezis-Browder定理 空量空间 有界函数 

分 类 号：O177.91[理学—数学] O189.11[理学—基础数学]