Arcwise connectedness of the solution sets for set optimization problems
| Autor: | San-hua Wang, Yu Han, Nan-jing Huang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
021103 operations research Optimization problem Social connectedness Applied Mathematics 0211 other engineering and technologies Solution set Mathematics::General Topology 02 engineering and technology Computer Science::Computational Geometry Management Science and Operations Research 01 natural sciences Industrial and Manufacturing Engineering Set (abstract data type) 010104 statistics & probability Vector optimization 0101 mathematics Software Mathematics |
| Zdroj: | Operations Research Letters. 47:168-172 |
| ISSN: | 0167-6377 |
| DOI: | 10.1016/j.orl.2019.03.005 |
| Popis: | In this paper, we establish the arcwise connectedness of the sets of l -minimal solutions and weak l -minimal solutions for set optimization problems under the assumption of the strictly natural quasi cone-convexity. Finally, our main result is applied to the arcwise connectedness of the solution sets for vector optimization problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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