Relaxation in infinite convex programming under Slater-type regularity conditions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914307638296576 |
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| author | Correa, Rafael Hantoute, Abderrahim López, Marco A. |
| author_facet | Correa, Rafael Hantoute, Abderrahim López, Marco A. |
| contents | The main purpose of this paper is to close the gap between the optimal values of an infinite convex program and that of its biconjugate relaxation. It is shown that Slater and continuity-type conditions guarantee such a zero-duality gap. The approach uses calculus rules for the conjugation and biconjugation of the sum and pointwise supremum operations. A second important objective of this work is to exploit these results on relaxation by applying them in the context of duality theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05457 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relaxation in infinite convex programming under Slater-type regularity conditions Correa, Rafael Hantoute, Abderrahim López, Marco A. Optimization and Control Functional Analysis 26B05, 26J25, 49H05 The main purpose of this paper is to close the gap between the optimal values of an infinite convex program and that of its biconjugate relaxation. It is shown that Slater and continuity-type conditions guarantee such a zero-duality gap. The approach uses calculus rules for the conjugation and biconjugation of the sum and pointwise supremum operations. A second important objective of this work is to exploit these results on relaxation by applying them in the context of duality theory. |
| title | Relaxation in infinite convex programming under Slater-type regularity conditions |
| topic | Optimization and Control Functional Analysis 26B05, 26J25, 49H05 |
| url | https://arxiv.org/abs/2602.05457 |