dc.contributor.author | Chen, Jiawei | |
dc.contributor.author | Yang, Ruixi | |
dc.contributor.author | Köbis, Elisabeth Anna Sophia | |
dc.contributor.author | Ou, Xiaoqing | |
dc.date.accessioned | 2024-07-11T10:59:20Z | |
dc.date.available | 2024-07-11T10:59:20Z | |
dc.date.created | 2023-12-14T16:04:33Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Optimization. 2023, 1-23. | en_US |
dc.identifier.issn | 0233-1934 | |
dc.identifier.uri | https://hdl.handle.net/11250/3140188 | |
dc.description.abstract | In this paper, we investigate robust optimality conditions and duality for a class of nonconvex multiobjective optimization problems with uncertain data in the worst case by the upper semi-regular convexificator. The Fermat principle for a locally Lipschitz function is presented in terms of the upper semi-regular convexificator. We establish robust necessary optimality conditions of the Fritz-John type and KKT type for the uncertain nonconvex multiobjective optimization problems. In addition, robust sufficient optimality conditions as well as saddle point conditions are derived under the generalized ∂ˆ∗-pseudoquasiconvexity and generalized convexity, respectively. The robust duality relations between the original problem and its mixed robust dual problem are obtained under a generalized pseudoconvexity assumption. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Convexificators for nonconvex multiobjective optimization problems with uncertain data: robust optimality and duality | en_US |
dc.title.alternative | Convexificators for nonconvex multiobjective optimization problems with uncertain data: robust optimality and duality | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 1-23 | en_US |
dc.source.journal | Optimization | en_US |
dc.identifier.doi | 10.1080/02331934.2023.2293061 | |
dc.identifier.cristin | 2213808 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |