Variational metric and exponential penalization
type: Item
instance of: scholarly article
title: Variational metric and exponential penalization
zbMATH Open document ID: 0688.90043
DOI: 10.1007/BF00939743
author: K. Mouallif
author: P. Tossings
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: \textit{H. Attouch} and \textit{R. J. Wets} [Trans. Am. Math. Soc. 296, 33-60 (1986; Zbl 0607.49009)] have introduced recently a variational metric between closed proper convex functions. The aim of this note is to give an estimation of this metric in the case of exponential penalties. We can therefore recover some convergence results for the exponential penalty method.
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 49M30
zbMATH DE Number: 4128660
zbMATH Keywords: variational metric
zbMATH Keywords: exponential penalties
zbMATH Keywords: convergence results
MaRDI profile type: Publication
cites work: Isometries for the Legendre-Fenchel Transform
cites work: Q5186236
cites work: Q3343711
cites work: Convex Analysis
cites work: Monotone Operators and the Proximal Point Algorithm
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description: scientific article; zbMATH DE number 4128660