Fixed points in the family of convex representations of a maximal monotone operator-Reference-Cited by-同舟云学术

Fixed points in the family of convex representations of a maximal monotone operator

Published:2003-05-05 Issue:12 Volume:131 Page:3851-3859
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Svaiter B.

Abstract

Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation. We prove that there exists a convex representation of the operator which is a fixed point of this conjugation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-12/S0002-9939-03-07083-7/S0002-9939-03-07083-7.pdf

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