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- Title
SET OPTIMIZATION USING IMPROVEMENT SETS.
- Authors
DHINGRA, M.; LALITHA, C. S.
- Abstract
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.
- Subjects
MATHEMATICS theorems; BANACH spaces; INTEGERS
- Publication
Yugoslav Journal of Operations Research, 2017, Vol 27, Issue 2, p153
- ISSN
0354-0243
- Publication type
Article
- DOI
10.2298/YJOR170115011D