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Ekeland’s principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics. (English) Zbl 1121.58018
In this paper a generalization of Ekeland’s variational principle in the case of vector-valued maps is established. The proof is a straightforward consequence of the characterization of uniform topological spaces via families of generalized quasi-metrics.
MSC:
58E30 Variational principles in infinite-dimensional spaces
49J40 Variational inequalities
49J52 Nonsmooth analysis
54E15 Uniform structures and generalizations
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