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Zbl 0997.49019
Göpfert, A.; Tammer, Chr.; Zălinescu, C.
On the vectorial Ekeland's variational principle and minimal points in product spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 39, No.7, A, 909-922 (2000). ISSN 0362-546X

Taking into account that the scalar Ekeland's variational principle is equivalent to the existence of a minimal point of the epigraph of the corresponding function with respect to an appropriate order, or to the existence of maximal points with respect to cones, satisfying some additional conditions, the authors obtain several minimal point theorems in product spaces and the corresponding variants of the vectorial Ekeland's variational principle.
[Maxim Todorov (Plovdiv)]

MSC 2000:: *49J53 Set-valued and variational analysis
90C29 Multi-objective programming, etc.

Keywords: minimal point theorems; vectorial Ekeland's variational principle

Cited in: Zbl 1235.49036 Zbl 1217.54030 Zbl 1211.49027 Zbl 1162.49023 Zbl 1170.46005 Zbl 1170.46004 Zbl 1173.54314 Zbl 1061.49018 Zbl 1059.90133 Zbl 1084.46506 Zbl 1046.90082

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