集值的Caristi不动点定理与Ekeland变分原理  

Set-Valued Caristi s Fixed Point Theorem and Ekeland's Variational Principle

作　　者：张石生[1] 罗群[2] 

机构地区：[1]四川大学数学系 [2]贵州师范大学数学系

出　　处：《应用数学和力学》1989年第2期111-113,共3页Applied Mathematics and Mechanics

摘　　要：本文提出一条加强形式的集值映象的Caristi不动点定理,并用较简单的方法证明了Ekeland变分原理与这一加强形式的集值的Caristi不动点定理的等价性.本文的结果改进和加强了[4]中的相应结果.This paper proposes a formally stronger set-valued Caristi's fixed point theorem and by using a simple method we give a direct proof for the equivalence between Eke-land's variational principle and this set-valued Caristi's fixed point theorem. The results stated in this paper-improve and strengthen the corresponding results in [4],

关 键 词：完备度量空间 集值映象 不动点 

分 类 号：O189.2[理学—数学]