Necessary Stationary Conditions for Multiobjective Optimization Problems with Nondifferentiable Convex Vanishing Constraints
| Autor: | P. Reihani Ardabili, J. Shaker Ardakani, Sh. Farahmand Rad, Nader Kanzi |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
021103 operations research General Mathematics 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS Mathematics::Optimization and Control 0211 other engineering and technologies Regular polygon General Physics and Astronomy 02 engineering and technology General Chemistry Subderivative 01 natural sciences Constraint (information theory) Multiobjective optimization problem Stationary conditions General Earth and Planetary Sciences Differentiable function 0101 mathematics General Agricultural and Biological Sciences Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 43:2913-2919 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-019-00768-4 |
| Popis: | In this paper, we consider a multiobjective optimization problem with vanishing constraints, in which its objective functions are continuously differentiable and its constraints are convex, not necessarily differentiable. We introduce two new Abadie-type constraint qualifications and present some necessary condition for properly efficient solutions of the problem, using convex subdifferential. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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