Nonlinearly constrained best approximation in Hilbert spaces: The strong chip and the basic constraint qualification

doi:10.1137/S1052623401385600

Residential College	false
Status	已發表Published
	Nonlinearly constrained best approximation in Hilbert spaces: The strong chip and the basic constraint qualification
	Li,Chong 1; Jin,Xiao Qing 2
	2003
Source Publication	SIAM Journal on Optimization
ABS Journal Level	3
ISSN	1052-6234
Volume	13 Issue:1 Pages:228-239
Abstract	We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint qualification" (BCQ) condition are discussed. Best approximations with differentiable constraints and convex constraints are characterized. The analysis generalizes some linearly constrained results of recent works [F. Deutsch, W. Li, and J. Ward, J. Approx. Theory, 90 (1997), pp. 385-444; F. Deutsch, W. Li, and J. D. Ward, SIAM J. Optim., 10 (1999), pp. 252-268].
Keyword	Bcq Condition Best Approximation Convex Constraint Differentiable Constraint Strong Chip
DOI	10.1137/S1052623401385600
URL	View the original
Language	英語English
WOS ID	WOS:000178000800013
Scopus ID	2-s2.0-0037289378
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	University of Macau
Corresponding Author	Li,Chong
Affiliation	1.Department of Mathematics,Zhejiang University,Hangzhou 310027,China 2.Faculty of Science and Technology,University of Macau,Macau,Macao
Recommended Citation GB/T 7714	Li,Chong,Jin,Xiao Qing. Nonlinearly constrained best approximation in Hilbert spaces: The strong chip and the basic constraint qualification[J]. SIAM Journal on Optimization, 2003, 13(1), 228-239.
APA	Li,Chong., & Jin,Xiao Qing (2003). Nonlinearly constrained best approximation in Hilbert spaces: The strong chip and the basic constraint qualification. SIAM Journal on Optimization, 13(1), 228-239.
MLA	Li,Chong,et al."Nonlinearly constrained best approximation in Hilbert spaces: The strong chip and the basic constraint qualification".SIAM Journal on Optimization 13.1(2003):228-239.

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