Approximate optimality conditions and sensitivity analysis in nearly convex optimization
| Autor: | Van Tuyen, Nguyen, Jiao, Liguo, Quan, Vu Hong, An, Duong Thi Viet |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, approximate optimality conditions and sensitivity analysis in nearly convex optimization are discussed. More precisely, as in the spirit of convex analysis, we introduce the concept of $\varepsilon$-subdifferential for nearly convex functions. Then, we examine some significant properties and rules for the $\varepsilon$-subdifferential. These rules are applied to study optimality conditions as well as sensitivity analysis for parametric nearly convex optimization problems, which are two important topics in optimization theory. Comment: 20 pages |
| Databáze: | arXiv |
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