Year: 2010
Author: Fengling Wang, Wen Song
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 203–210
Abstract
In this paper, we establish a second-order sufficient condition for constrained optimization problems of a class of so called $ℓ$-stable functions in terms of the first-order and the second-order Dini type directional derivatives. The result extends the corresponding result of [D. Bednařík and K. Pastor, Math. Program. Ser. A, 113(2008), 283–298] to constrained optimization problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19152
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 203–210
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: second-order optimality condition $ℓ$-stable function Dini directional derivative isolated minimizer.