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The NC-proximal average for multiple functions

Content Provider	Springer Nature Link
Author	Hare, W. Planiden, C.
Copyright Year	2013
Abstract	The NC-proximal average is a parametrized function used to continuously transform one proper, lsc, prox-bounded function into another. Until now it has been defined for two functions. The purpose of this article is to redefine it so that any finite number of functions may be used. The layout generally follows that of Hare (SIAM J Optim 20(2):650–666, 2009), extending those results to the more general case and in some instances giving alternate proofs by using techniques developed after the publication of that paper. We conclude with an example examining the discontinuity of the minimizers of the NC-proximal average.
Starting Page	849
Ending Page	860
Page Count	12
File Format	PDF
ISSN	18624472
Journal	Optimization Letters
Volume Number	8
Issue Number	3
e-ISSN	18624480
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-04-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Proximal average Prox-regularity Moreau envelope Minima Optimization Operations Research/Decision Theory Computational Intelligence Numerical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Business, Management and Accounting

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