Set-Valued Analysis

, Volume 11, Issue 3, pp 225–256

Continuity of Usual Operations and Variational Convergences

  • Jean-Paul Penot
  • Constantin Zălinescu


Given convergent sequences of functions (fn) and (gn), we look for conditions ensuring that the sequences (fn+gn), (max (fn,gn)) and (fn □ gn) converge, □ being the infimal convolution. The convergences we use are variational convergences. This study is motivated by applications to Hamilton–Jacobi equations.

asymptotic functions bounded-Hausdorff convergence bounded-hemi convergence convergence epiconvergence Hamilton–Jacobi equations Mosco convergence variational convergence 


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Jean-Paul Penot
    • 1
  • Constantin Zălinescu
    • 2
  1. 1.Faculté des sciencesLaboratoire de Mathématiques appliquées, ERS CNRS 2055, av. de l'UniversitéPauFrance
  2. 2.Faculty of MathematicsUniversity “Al. I. Cuza” Iaşi, Bd. Copou Nr. 11IaşiRomania

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