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

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

Language: English

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