Convergence en niveaux et en épigraphes. (Convergences by epigraph and level set methods.). (French) Zbl 0566.49004

Two convergence notions for relations are introduced, which agree for monotone relations. In the particular case of level sets of functions, a characterization of epi-convergence is obtained. An application to quasi- inf-convolution is presented.
Reviewer: T.Zolezzi


49J45 Methods involving semicontinuity and convergence; relaxation
49K40 Sensitivity, stability, well-posedness
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
26E25 Set-valued functions
54C60 Set-valued maps in general topology