Ekeland原理的推广及空间的完备性特征  

THE GENERALIZATION OF EKELAND'S PRINCIPLE AND THE COMPLETENESS OF SPACE

作　　者：边文明[1] 

机构地区：[1]河南师范大学数学系

出　　处：《河南师范大学学报（自然科学版）》1992年第1期15-20,共6页Journal of Henan Normal University(Natural Science Edition)

摘　　要：本文把Ekeland变分原理推广到拓扑空间,给出了更一般的Petal定理及Drop定理,得到了拓扑空间内的几个不动点定理,并讨论了空间的完备性特征(与不动点的存在性等价).This paper generalizes the Ekeland prinpiclc into topological space, gives the more generalized Petal and Drop theorems and gets some fixed point theorems and the characteristics of the complet eness of space (equivalent to the existence of fixed point of some kind of map).

关 键 词：Ekeland原理 拟函数 完备 不动点 

分 类 号：O177.91[理学—数学]