Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings


Author: Heinz H. Bauschke
Journal: Proc. Amer. Math. Soc. 135 (2007), 135-139
MSC (2000): Primary 46C05, 47H09; Secondary 52A41, 90C25
Published electronically: August 16, 2006
MathSciNet review: 2280182
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Recently, S. Reich and S. Simons provided a novel proof of the Kirszbraun-Valentine extension theorem using Fenchel duality and Fitzpatrick functions. In the same spirit, we provide a new proof of an extension result for firmly nonexpansive mappings with an optimally localized range.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46C05, 47H09, 52A41, 90C25

Retrieve articles in all journals with MSC (2000): 46C05, 47H09, 52A41, 90C25


Additional Information

Heinz H. Bauschke
Affiliation: Department of Mathematics, Irving K. Barber School, University of British Columbia Okanagan, Kelowna, British Columbia, Canada V1V 1V7
Email: heinz.bauschke@ubc.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08770-3
PII: S 0002-9939(06)08770-3
Keywords: Fenchel duality, firmly nonexpansive mapping, Fitzpatrick function, Kirszbraun-Valentine theorem
Received by editor(s): July 24, 2005
Published electronically: August 16, 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.