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Ekeland’s variational principle for set-valued maps via scalarization. (English) Zbl 1440.49020

Akashi, Shigeo (ed.) et al., Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2–5, 2011. Vol. I. Yokohama: Yokohama Publishers. 283-289 (2013).
Summary: In this paper, we prove certain results on Ekeland-type of variational principle for set-valued maps by applying usual Ekeland’s variational principle to some scalarizing function for a set-valued map.
For the entire collection see [Zbl 1436.00055].

MSC:

49J53 Set-valued and variational analysis
54C60 Set-valued maps in general topology