On Chebyshev functions and Klee functions
type: Item
instance of: scholarly article
title: On Chebyshev functions and Klee functions
zbMATH Open document ID: 1211.49022
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-19T00:00:00Z
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 5710087
zbMATH Keywords: Chebyshev function
zbMATH Keywords: essentially strictly convex function
zbMATH Keywords: farthest mapping
zbMATH Keywords: hypoconvex function
zbMATH Keywords: Klee function
zbMATH Keywords: Klee envelope
zbMATH Keywords: limiting subdifferential
zbMATH Keywords: monotone operator
zbMATH Keywords: Moreau envelope
zbMATH Keywords: proximal mapping
zbMATH Keywords: prox-bounded lower semicontinuous function
zbMATH Keywords: prox-regular function
zbMATH Keywords: strongly convex function
author: Xianfu Wang
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.03.041
OpenAlex ID: W2013268819
cites work: Bregman distances and Chebyshev sets
cites work: Bregman distances and Klee sets
cites work: Autoconjugate representers for linear monotone operators
cites work: Prox-regular functions in Hilbert spaces
cites work: Q3422488
cites work: Prox-regularity of functions and sets in Banach spaces
cites work: Q4856862
cites work: Computing proximal points of nonconvex functions
cites work: Q5296449
cites work: Chebyshev sets vs convex sets: the situation from the perspective of convex nonsmooth analysis
cites work: Q5295627
cites work: Potpourri of Conjectures and Open Questions in Nonlinear Analysis and Optimization
cites work: Convexity of Chebyshev sets
cites work: Proximal mappings
cites work: Prox-regular functions in variational analysis
cites work: Local differentiability of distance functions
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Q5599348
cites work: Variational Analysis
cites work: Duality for nonconvex optimization and its applications
cites work: Approximate mean value theorem for upper subderivatives
cites work: Q3149262
DOI: 10.1016/J.JMAA.2010.03.041
Recommended article: On Chebyshev coefficients for some functions
Recommended article: On the Chebyshev functional
Recommended article: Q5428457
Recommended article: Q3082733
Recommended article: Q3272707
Recommended article: On Chebyshev polynomials and their applications
Recommended article: Q5531767
Recommended article: Q4313528
Recommended article: Some remarks on the Chebyshev functional
description: scientific article; zbMATH DE number 5710087