Geodesic
Generalized characterization theorems for set relations and an application to multi-valued optimization
Minimax theory and its applications, Tome 9 (2024) no. 2
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This paper proposes relaxed characterization for set relations by scalarization functions and states a generalized Gordan’s theorem of the alternative for set-valued maps. As an application, we introduce some robustness of multi-valued optimization problems together with an algorithm by which its criteria can be calculated.
Mots-clés : Set optimization, set relation, scalarization, theorem of the alternative, robustness 
@article{MTA_2024_9_2_a12,
     author = {Yuto Ogata},
     title = {Generalized characterization theorems for set relations and an application to multi-valued optimization},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     zbl = {1563.90195},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a12/}
}
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Yuto Ogata. Generalized characterization theorems for set relations and an application to multi-valued optimization. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a12/