Set optimization using improvement sets
DOI:
https://doi.org/10.2298/YJOR170115011DKeywords:
set-valued optimization, improvement set, Painlevé-Kuratowski convergenceAbstract
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.References
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