Approximate optimality conditions and sensitivity analysis in nearly convex optimization
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913535459590144 |
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| author | Van Tuyen, Nguyen Jiao, Liguo Quan, Vu Hong An, Duong Thi Viet |
| author_facet | Van Tuyen, Nguyen Jiao, Liguo Quan, Vu Hong An, Duong Thi Viet |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04710 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate optimality conditions and sensitivity analysis in nearly convex optimization Van Tuyen, Nguyen Jiao, Liguo Quan, Vu Hong An, Duong Thi Viet Optimization and Control 90C25, 90C26, 90C31, 49J52, 49J53 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. |
| title | Approximate optimality conditions and sensitivity analysis in nearly convex optimization |
| topic | Optimization and Control 90C25, 90C26, 90C31, 49J52, 49J53 |
| url | https://arxiv.org/abs/2410.04710 |