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Convex functions with continuous epigraph or continuous level sets

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Publication:1908635
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DOI10.1007/BF02192176zbMath0851.90089MaRDI QIDQ1908635

P. Coutat, Michel Volle, Juan-Enrique Martinez-Legaz

Publication date: 4 March 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)


zbMATH Keywords

Hausdorff locally convex spacelower semi-continuous proper convex functions


Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Markov and semi-Markov decision processes (90C40)


Related Items

Zero duality gap for convex programs: a generalization of the Clark-Duffin theorem, Generalized Courant-Beltrami penalty functions and zero duality gap for conic convex programs, Slice-continuous sets in reflexive Banach spaces: convex constrained optimization and strict convex separation



Cites Work

  • Unnamed Item
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  • Well behaved asymptotical convex functions
  • Convex analysis and measurable multifunctions
  • On closed convex sets without boundary rays and asymptotes
  • Closedness conditions for the optimality of a family of non-convex optimization problems
  • Level Sets and Continuity of Conjugate Convex Functions
  • Convex Analysis
  • Continuous Convex Sets.
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