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Lobachevskii Journal of Mathematics, 2006, Volume 21, Pages 33–44 (Mi ljm46)  
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics

A. Benbrik, A. Mbarki, S. Lahrech, A. Ouahab

Mohamed First University
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Abstract: Using a new characterization of uniform spaces via Families of generalized quasi-metrics, we present a variant of Ekeland's variational principle for vector-valued maps being a consequence of minimal point theorem.
Keywords: Ekeland's principle for vector-valued maps, minimal point theorem, uniform spaces, family of generalized quasi-metrics.
Submitted by: A. V. Lapin
Received: 16.04.2006
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Language: English
Citation: A. Benbrik, A. Mbarki, S. Lahrech, A. Ouahab, “Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics”, Lobachevskii J. Math., 21 (2006), 33–44
Citation in format AMSBIB
\Bibitem{BenMbaLah06}
\by A.~Benbrik, A.~Mbarki, S.~Lahrech, A.~Ouahab
\paper Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics
\jour Lobachevskii J. Math.
\yr 2006
\vol 21
\pages 33--44
\mathnet{http://mi.mathnet.ru/ljm46}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2220698}
\zmath{https://zbmath.org/?q=an:1121.58018}
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