序列完备局部凸空间中的Caristi不动点定理及其运用  

A Generalization of Caristi's Fixed Point Theorem in Sequentially Complete Local Convex Space and its Application

作　　者：吴焚供[1] 

机构地区：[1]广东教育学院数学系,广东广州510303

出　　处：《广东教育学院学报》2007年第5期40-42,共3页Journal of Guangdong Education Institute

摘　　要：给出序列完备局部凸空间中的Caristi不动点定理,并证明该定理与A.Hamel在2003年给出的Ekeland变分原理等价.作为应用,我们利用这一不动点定理将最近的一些结果推广到序列完备局部凸空间.A generalization of Caristi＇s fixed point theorem in sequentially complete local convex space is given. We also show the equivalence of this theorem with the new version of Ekeland variational principle given by A. Hamel in 2003. As an application, we extend some results about Caristi＇s fixed point theorem to sequentially complete local convex space.

关 键 词：局部凸 EKELAND变分原理 CARISTI不动点定理 序列完备 

分 类 号：O224[理学—运筹学与控制论]