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Fenchel duality theorem in multiobjective programming problems with set functions

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Publication:1429341
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DOI10.1007/BF02936081zbMath1044.90072MaRDI QIDQ1429341

Sanming Liu, En-Min Feng

Publication date: 18 May 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)


zbMATH Keywords

set functionsFenchel duality theorem


Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Duality theory for topological vector spaces (46A20)


Related Items (1)

On several results about convex set functions



Cites Work

  • Optimal constrained selection of a measurable subset
  • Epigraphs of convex set functions
  • Convex programming with set functions
  • Lagrange multiplier theorem of multiobjective programming problems with set functions
  • Equazioni differenziali e algebriche: un algoritmo esplicito di tipo perturbativo
  • Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
  • Saddle point and duality in the optimization theory of convex set functions
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