Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Dualized and scaled Fitzpatrick functions

Author: Stephen Simons
Journal: Proc. Amer. Math. Soc. 134 (2006), 2983-2987
MSC (2000): Primary 47H05; Secondary 26B25
Published electronically: May 4, 2006
MathSciNet review: 2231623
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Abstract: In this paper, we obtain an explicit formula for the interior of the domain of a maximal monotone multifunction in terms of its Fitzpatrick function.

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Stephen Simons
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106-3080

Keywords: Monotone multifunction, Fitzpatrick function, convex function, conjugate function, Fenchel duality, weak$^{*}$ topology
Received by editor(s): May 3, 2005
Published electronically: May 4, 2006
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.