First-Order Optimality Conditions for Lipschitz Optimization Problems with Vanishing Constraints
| Autor: | Nader Kanzi, Aghileh Heydari, Hadis Mokhtavayi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Mathematical optimization 021103 operations research General Mathematics 010102 general mathematics 0211 other engineering and technologies General Physics and Astronomy 02 engineering and technology General Chemistry First order 01 natural sciences Constraint (information theory) Stationary conditions Computer Science::Programming Languages General Earth and Planetary Sciences 0101 mathematics Lipschitz optimization General Agricultural and Biological Sciences Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 44:1853-1861 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-020-00988-z |
| Popis: | This article deals with a class of non-smooth mathematical programming with vanishing constraints. We introduce several kinds of constraint qualifications for these problems, and we study the relations between them. Then, we apply these constraint qualifications to obtain several stationary conditions. Finally, a sufficient condition for optimality of the problem is presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink