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On the graph convergence of subdifferentials of convex functions
Author(s):
C.
Combari;
L.
Thibault
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2231-2240.
MSC (1991):
Primary 49J52, 58C20, 90C25
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Abstract:
This paper provides another proof of the Attouch Theorem relating the epigraphical limit of sequences of convex functions to the set limit of the graphs of the subdifferentials.
References:
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Additional Information:
C.
Combari
Affiliation:
Université Montpellier II, Laboratoire d'Analyse Convexe, Place Eugene Bataillon, 34095 Montpellier cedex 5, France
L.
Thibault
Affiliation:
Université Montpellier II, Laboratoire d'Analyse Convexe, Place Eugene Bataillon, 34095 Montpellier cedex 5, France
Email:
thibault@math.univ-montp2.fr
DOI:
10.1090/S0002-9939-98-04724-8
PII:
S 0002-9939(98)04724-8
Keywords:
Epilimit inferior,
epilimit superior,
Mosco-convergence,
slice convergence,
Painlev\'e-Kuratowski convergence
Received by editor(s):
January 5, 1996
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1998,
American Mathematical Society
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