Geodesic
On the Convergence of Efficient Solutions to Semi-Infinite Set-Optimization Problems
Minimax theory and its applications, Tome 9 (2024) no. 2
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We consider semi-infinite set optimization problems and study the stability of efficient solutions for such problems. We first discuss upper and lower semicontinuity properties of the constraint sets. Next, we introduce a concept of converse property for the original problem and employ it to establish the upper convergence for efficient solutions. Besides, we also propose concepts of sequential domination to consider the lower convergence for efficient solutions.
Mots-clés : Semi-infinite set optimization problem, stability, efficient solution, converse property, domination 
@article{MTA_2024_9_2_a0,
     author = {Lam Quoc Anh,Lam Van Day,Tran Quoc Duy},
     title = {On the {Convergence} of {Efficient} {Solutions} to {Semi-Infinite} {Set-Optimization} {Problems}},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a0/}
}
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Lam Quoc Anh,Lam Van Day,Tran Quoc Duy. On the Convergence of Efficient Solutions to Semi-Infinite Set-Optimization Problems. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a0/