Versions of Ekeland’s variational principle involving set perturbations

Phan Khanh () and Dinh Quy ()

Journal of Global Optimization, 2013, vol. 57, issue 3, 968 pages

Abstract: We consider Ekeland’s variational principle for multivalued maps. Instead of dealing with directional perturbations in a direction of the positive cone of the image space, we perturb the map under question by a convex subset of the positive cone to get stronger and more general versions. Many example are provided to highlight relations of our results to existing ones, including their advantages. Copyright Springer Science+Business Media New York 2013

Keywords: Ekeland’s variational principle; Set perturbations; Pareto minimizers; Kuroiwa’s minimizers; Minimal elements; Relaxed semicontinuity; 58E30; 49J53; 90C48; 65K10; 58E17 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10898-012-9983-3

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