纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2012年
3期
363-369
,共7页
广义Ekeland变分原理%拟度量空间%Takahashi%ε-条件%Hemal%ε-条件
廣義Ekeland變分原理%擬度量空間%Takahashi%ε-條件%Hemal%ε-條件
엄의Ekeland변분원리%의도량공간%Takahashi%ε-조건%Hemal%ε-조건
generalized Ekeland's variational principle%quasi-metric space%the e-condition of Takahashi%the ε--condition of Hamel
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.
研究瞭廣義Ekeland變分原理在擬度量空間中的一些重要應用.利用廣義Ekeland變分原理證明瞭函數f滿足關于α的Takahashi ε-條件噹且僅噹f滿足關于相同α的Hamel ε-條件.此外,利用關于α的Takahashi ε-條件得到瞭一些重要結論.
연구료엄의Ekeland변분원리재의도량공간중적일사중요응용.이용엄의Ekeland변분원리증명료함수f만족관우α적Takahashi ε-조건당차부당f만족관우상동α적Hamel ε-조건.차외,이용관우α적Takahashi ε-조건득도료일사중요결론.
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.
