Korean Journal of Mathematics
- Volume 13 Issue 1
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- Pages.83-90
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- 2005
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
DIRECT PROOF OF EKELAND'S PRINCIPLE IN LOCALLY CONVEX HAUSDORFF TOPOLOGICAL VECTOR SPACES
- Park, Jong An (Department of Mathematics Kangwon National University)
- Received : 2004.12.22
- Published : 2005.02.28
Abstract
A.H.Hamel proved the Ekeland's principle in a locally convex Hausdorff topological vector spaces by constructing the norm and applying the Ekeland's principle in Banach spaces. In this paper we show that the Ekeland's principle in a locally convex Hausdorff topological vector spaces can be proved directly by applying the famous general principle of H.Br