Caristi 不动点定理的推广及应用

A Generalization of Caristi's Fixed Point Theorem and Its Applications

中文关键词:  不动点定理  Zorn 引理  序集一般原理  变分原理.

英文关键词:fixed point theorem  Zorn's lemma  general principle on ordered set  variational principle.

中文摘要:

      本文推广了古典的 Garisti 不动点定理, 作为应用, 古典的 Ekeland变分原理得到了推广,并且证明了推广的 Garisti 不动点定理和推广的 Ekeland变分原理是等价的.

英文摘要:

      The paper generalizes the classical Caristi's fixed point theorem. As an application, the classical Ekeland variational principle is generalized. In addition, it is proved that the generalized Caristi's fixed point theorem is equivalent to the generalized Ekeland variational principle.