Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6098
PIRA download icon_1.1View/Download Full Text
Title: Stable and total Fenchel duality for DC optimization problems in locally convex spaces
Authors: Fang, DH
Li, C
Yang, XQ 
Issue Date: 2011
Source: SIAM journal on optimization, 2011, v. 21, no. 3, p. 730-760
Abstract: We consider the DC (difference of two convex functions) optimization problem (P)) inf [sub χ∈]X {(ƒ₁ (χ) - ƒ₂(χ)) + (g₁(Aχ) - g₂(Aχ))}, where ƒ₁, ƒ₂, g₁, and g₂ are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, and A is a linear continuous operator from X to Y. Adopting different tactics, two types of the Fenchel dual problems of (P) are given. By using the properties of the epigraph of the conjugate functions, some sufficient and necessary conditions for the weak duality of (P) are provided. Sufficient and/or necessary conditions for the strong Fenchel duality, the stable Fenchel duality, and the stable total duality are derived.
Keywords: Strong Fenchel duality
Total Fenchel duality
Difference of two convex functions programming
Publisher: Society for Industrial and Applied Mathematics
Journal: SIAM journal on optimization 
ISSN: 1052-6234
EISSN: 1095-7189
DOI: 10.1137/100789749
Rights: © 2011 Society for Industrial and Applied Mathematics
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Fang_Fenchel_Duality_Convex.pdf311.05 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Version of Record
Access
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

86
Last Week
1
Last month
Citations as of May 15, 2022

Downloads

189
Citations as of May 15, 2022

SCOPUSTM   
Citations

37
Last Week
0
Last month
0
Citations as of May 19, 2022

WEB OF SCIENCETM
Citations

39
Last Week
0
Last month
0
Citations as of May 19, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.