A unifying approach to robust convex infinite optimization duality
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Publication:1673912
DOI10.1007/s10957-017-1136-xzbMath1373.90101OpenAlexW2734564433MaRDI QIDQ1673912
Publication date: 27 October 2017
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10045/70704
Lagrange dualitystrong dualityrobust convex optimizationrobust strong dualityrobust reverse strong dualityuniform robust strong duality
Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)
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Cites Work
- Robust linear semi-infinite programming duality under uncertainty
- Robust duality in parametric convex optimization
- New glimpses on convex infinite optimization duality
- Duality and robust duality for special nonconvex homogeneous quadratic programming under certainty and uncertainty environment
- Robust conjugate duality for convex optimization under uncertainty with application to data classification
- Robust duality for generalized convex programming problems under data uncertainty
- Robust duality for fractional programming problems with constraint-wise data uncertainty
- On robust duality for fractional programming with uncertainty data
- On general minimax theorems
- Duality in robust optimization: Primal worst equals dual best
- Recent advances in robust optimization: an overview
- Strong and total Fenchel dualities for robust convex optimization problems
- Strong duality for robust minimax fractional programming problems
- Surrogate duality for robust optimization
- Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities
- Technical Note—Deriving Robust and Globalized Robust Solutions of Uncertain Linear Programs with General Convex Uncertainty Sets
- Strong Duality in Robust Convex Programming: Complete Characterizations
- A Unified Approach to Robust Farkas-Type Results with Applications to Robust Optimization Problems
- New Farkas-type constraint qualifications in convex infinite programming
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