Epi/hypo-convergence: The slice topology and saddle points approximation

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5 Scopus citations


We show that the slice convergence of the convex parents of saddle functions implies the epi/hypo-convergence of these saddle function and hence the convergence of their saddle points. We also obtain condition for the slice convergence of sums of convex functions. We then apply thes results to problems in convex programming optimal control and Chebyshe approximations.

Original languageEnglish
Pages (from-to)13-39
Number of pages27
JournalJournal of Applied Analysis
Issue number1
StatePublished - Jun 1996


  • Chebyshev approximations
  • Conve programming
  • Epi/hypo-convergence
  • Optimal control
  • Saddle points
  • Slice topology

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics
  • Applied Mathematics


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