Characterization of lower semicontinuous convex functions-Reference-Cited by-同舟云学术

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Characterization of lower semicontinuous convex functions

Published:1992 Issue:1 Volume:116 Page:67-72
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Correa R.,Jofré A.,Thibault L.

Abstract

We prove that a lower semicontinuous function defined on a reflexive Banach space is convex if and only if its Clarke subdifferential is monotone.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-01/S0002-9939-1992-1126193-4/S0002-9939-1992-1126193-4.pdf

Reference11 articles.

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

2. The proximal normal formula in Banach space;Borwein, J. M.;Trans. Amer. Math. Soc.,1987

3. Proximal analysis and boundaries of closed sets in Banach space. II. Applications;Borwein, J. M.;Canad. J. Math.,1987

4. Canadian Mathematical Society Series of Monographs and Advanced Texts;Clarke, Frank H.,1983

5. Lecture Notes in Mathematics, Vol. 485;Diestel, Joseph,1975

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