摘要
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.
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.
出处
《纯粹数学与应用数学》
CSCD
2012年第3期363-369,共7页
Pure and Applied Mathematics
基金
国家自然科学基金(10831009)
重庆市科委运筹学与系统工程重点实验室专项经费(CSTC
2011KLORSE02)
重庆自然科学基金(2011BA0030)
重庆市教委科技项目(KJ110625)
