On classes of generalized convex functions, Gordan-Farkas type theorems, and Lagrangean duality
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Publication:1807819
DOI10.1023/A:1021780423989zbMath0937.90127OpenAlexW1605010047MaRDI QIDQ1807819
Publication date: 14 June 2000
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1021780423989
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequality systems and optimization
- A generalization of a minimax theorem of Fan via a theorem of the alternative
- On the image of a constrained extremum problem and some applications to the existence of a minimum
- Perfect duality for convexlike programs
- Lagrange multipliers and saddle points in multiobjective programming
- Über das von-Neumannsche Minimax-Theorem
- Nonconvex theorems of the alternative and minimization
- Convex Analysis
- Minimax Theorems
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