Generalized Hadamard well-posedness for infinite vector optimization problems
| Autor: | Xianfu Wang, Yun-Bin Zhao, Xian-Jun Long, Zai-Yun Peng |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
021103 operations research
Control and Optimization Optimization problem Applied Mathematics Hadamard three-lines theorem 010102 general mathematics Mathematical analysis 0211 other engineering and technologies 02 engineering and technology Management Science and Operations Research 01 natural sciences Hadamard's inequality Set (abstract data type) Constraint (information theory) Vector optimization Hadamard transform Applied mathematics 0101 mathematics Mathematics Variable (mathematics) |
| Zdroj: | Optimization. 66:1563-1575 |
| ISSN: | 1029-4945 0233-1934 |
| DOI: | 10.1080/02331934.2017.1349767 |
| Popis: | In this paper, we study the generalized Hadamard well-posedness of infinite vector optimization problems (IVOP). Without the assumption of continuity with respect to the first variable, the upper semicontinuity and closedness of constraint set mappings are established. Under weaker assumptions, sufficient conditions of generalized Hadamard well-posedness for IVOP are obtained under perturbations of both the objective function and the constraint set. We apply our results to the semi-infinite vector optimization problem and the semi-infinite multi-objective optimization problem. |
| Databáze: | OpenAIRE |
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