Geodesic
Set Optimization Using Improvement Sets
Yugoslav journal of operations research, Tome 27 (2017) no. 2, p. 153 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper we introduce a notion of minimal solutions for set-valued optimization problem in terms of improvement sets by unifying a solution notion, introduced by Kuroiwa [15] for set-valued problems, and a notion of optimal solutions in terms of improvement sets, introduced by Chicco et al. [4] for vector optimization problems. We provide existence theorems for these solutions, and establish lower convergence of the minimal solution sets in the sense of Painlevé-Kuratowski.
Classification : 49J53, 90C30
Keywords: Set-valued Optimization, Improvement Set, Painlevé-Kuratowski Convergence 
@article{YJOR_2017_27_2_a1,
     author = {M. Dhingra and C.S. Lalitha},
     title = {Set {Optimization} {Using} {Improvement} {Sets}},
     journal = {Yugoslav journal of operations research},
     pages = {153 },
     year = {2017},
     volume = {27},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2017_27_2_a1/}
}
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M. Dhingra; C.S. Lalitha. Set Optimization Using Improvement Sets. Yugoslav journal of operations research, Tome 27 (2017) no. 2, p. 153 . http://geodesic.mathdoc.fr/item/YJOR_2017_27_2_a1/