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Title: Minimum recession-compatible subsets of closed convex sets
Authors: He, Y.
Sun, J. 
Keywords: Error bound
Recession cone
Recession-compatible subset
Issue Date: 2012
Citation: He, Y., Sun, J. (2012). Minimum recession-compatible subsets of closed convex sets. Journal of Global Optimization 52 (2) : 253-263. ScholarBank@NUS Repository.
Abstract: A subset B of a closed convex set A is recession-compatible with respect to A if A can be expressed as the Minkowski sum of B and the recession cone of A. We show that if A contains no line, then there exists a recession-compatible subset of A that is minimal with respect to set inclusion. The proof only uses basic facts of convex analysis and does not depend on Zorn's Lemma. An application of this result to the error bound theory in optimization is presented. © 2011 Springer Science+Business Media, LLC.
Source Title: Journal of Global Optimization
ISSN: 09255001
DOI: 10.1007/s10898-011-9662-9
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