Versions of Ekeland’s variational principle involving set perturbations
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 exampl...
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| Veröffentlicht in: | Journal of global optimization 2013-11, Vol.57 (3), p.951-968 |
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| container_end_page | 968 |
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| container_title | Journal of global optimization |
| container_volume | 57 |
| creator | Khanh, Phan Quoc Quy, Dinh Ngoc |
| description | 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. |
| doi_str_mv | 10.1007/s10898-012-9983-3 |
| format | Article |
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| subjects | Computer Science Dealing Mathematical analysis Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Perturbation Real Functions Studies Variational principles |
| title | Versions of Ekeland’s variational principle involving set perturbations |
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