Geodesic
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics
Lobachevskii journal of mathematics, Tome 21 (2006), pp. 33-44

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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. 
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     title = {Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics},
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     url = {http://geodesic.mathdoc.fr/item/LJM_2006_21_a1/}
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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 journal of mathematics, Tome 21 (2006), pp. 33-44. http://geodesic.mathdoc.fr/item/LJM_2006_21_a1/