Duality in D. C. programming: The case of several D. C. constraints
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Publication:1305471
DOI10.1006/jmaa.1999.6496zbMath0946.90064OpenAlexW1990754283WikidataQ57836409 ScholiaQ57836409MaRDI QIDQ1305471
Michel Volle, Juan-Enrique Martinez-Legaz
Publication date: 30 September 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6496
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)
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Cites Work
- A general duality scheme for nonconvex minimization problems with a strict inequality constraint
- Subdifferentiability and inf-sup theorems
- Inf-convolution, sous-additivite, convexite des fonctions numériques
- Duality in Reverse Convex Optimization
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