广义Ekeland变分原理的应用

摘要

In this paper, some important applications about generalized Ekeland＇s variational principle in quasi-metric space are investigated. We proved that function f satisfies the ε--condition of Takahashi with a iff f satisfies the E-condition of Hamel with the same a by the generalized Ekeland＇s variational principle. Furthermore, some important conclusions are obtained by the G-condition of Takahashi with a.%研究了广义Ekeland变分原理在拟度量空间中的一些重要应用.利用广义Ekeland变分原理证明了函数f满足关于α的Takahashi ε-条件当且仅当f满足关于相同α的Hamel ε-条件.此外,利用关于α的Takahashi ε-条件得到了一些重要结论.