不完全偏好下的极大元定理及其应用

Maximal Element Theorems in the Sense of Incomplete Preference with Applications

首先提出并论证了一个Zorn引理的等价定理,然后利用该定理,在不完全偏好意义下获得了若干极大元定理.统一和改进了若干已知结果,例如著名的Brezis Browder序集一般原理及其推广等.

An equivalent theorem of Zorn's lemma is proposed and proved,by which,some maximal element theorems are obtained in the sense of incomplete preference.Many known results such as Brezis-Browder general principle on ordered sets and its generalizations are unified and generalized here.