一个非凸最小化定理与Ekeland变分原理等价

EQUIVALENCE BETWEEN A NONCONVEX MINIMIZATION THEOREM AND EKELAND'S VARIATIONAL PRINCIPLE

本文证明了一个非凸最小化定理。并利用它证明了Ekeland变分原理,和Caristi不动点定理,且由此证明非凸最小化定理与Ekeland变分原理,Caristi不动点定理等价。

In this paper, we prove the equivalence between a nonconvex minimization theorem on complete metric space and Ekeland's variational principle.