An order drop theorem

Mihai Turinici

Abstract


A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.

Keywords


metric/normed space, drop, support point, lsc/usc function, variational principle, preorder, self-closedness, logical equivalence

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