Geodesic
Connectedness in set optimization via a nonlinear scalarization
Minimax theory and its applications, Tome 9 (2024) no. 2
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Weconsider the sets of minimal solutions and weak minimal solutions to a set optimization problem with respect to the lower and upper set less relations. Via a nonlinear scalarization based on the oriented distance, we establish that they are connected under the assumption of strictly natural quasi cone-convexity.
Mots-clés : Set optimization, connectedness, weak l-minimal solution, lower set less relation, scalar ization 
@article{MTA_2024_9_2_a9,
     author = {Bienvenido Jim\'enez},
     title = {Connectedness in set optimization via a nonlinear scalarization},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     zbl = {07929250},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a9/}
}
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Bienvenido Jiménez. Connectedness in set optimization via a nonlinear scalarization. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a9/