On the graph convergence of subdifferentials of convex functions-Reference-Cited by-同舟云学术

On the graph convergence of subdifferentials of convex functions

Published:1998 Issue:8 Volume:126 Page:2231-2240
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Combari C.,Thibault L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-08/S0002-9939-98-04724-8/S0002-9939-98-04724-8.pdf

Reference19 articles.

1. Convergence de fonctions convexes, des sous-différentiels et semi-groupes associés;Attouch, Hédy;C. R. Acad. Sci. Paris S\'{e}r. A-B,1977

2. Applicable Mathematics Series;Attouch, H.,1984

3. On the convergence of subdifferentials of convex functions;Attouch, Hédy;Arch. Math. (Basel),1993

4. Strong solutions for parabolic variational inequalities;Attouch, Hédy;Nonlinear Anal.,1978

5. The slice topology: a viable alternative to Mosco convergence in nonreflexive spaces;Beer, Gerald;Nonlinear Anal.,1992

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