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

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],