On Fenchel c-conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909456434987008 |
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| author | Fajardo, M. D. Vidal-Nunez, J. |
| author_facet | Fajardo, M. D. Vidal-Nunez, J. |
| contents | In this paper we present two Fenchel-type dual problems for a DC (difference of convex functions) optimization primal one. They have been built by means of the c-conjugation scheme, a pattern of conjugation which has been shown to be suitable for evenly convex functions. We study characterizations of weak, strong and stable strong duality for both pairs of primal-dual problems. We also give conditions which relate the existence of strong and stable strong duality for both pairs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_08061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Fenchel c-conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality Fajardo, M. D. Vidal-Nunez, J. Optimization and Control 52A20, 26B25, 90C25, 49N15 In this paper we present two Fenchel-type dual problems for a DC (difference of convex functions) optimization primal one. They have been built by means of the c-conjugation scheme, a pattern of conjugation which has been shown to be suitable for evenly convex functions. We study characterizations of weak, strong and stable strong duality for both pairs of primal-dual problems. We also give conditions which relate the existence of strong and stable strong duality for both pairs. |
| title | On Fenchel c-conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality |
| topic | Optimization and Control 52A20, 26B25, 90C25, 49N15 |
| url | https://arxiv.org/abs/2501.08061 |