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2012 Necessary Conditions for Weak Sharp Minima in Cone-Constrained Optimization Problems
W. Y. Zhang, S. Xu, S. J. Li
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/909520

Abstract

We study weak sharp minima for optimization problems with cone constraints. Some necessary conditions for weak sharp minima of higher order are established by means of upper Studniarski or Dini directional derivatives. In particular, when the objective and constrained functions are strict derivative, a necessary condition is obtained by a normal cone.

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W. Y. Zhang. S. Xu. S. J. Li. "Necessary Conditions for Weak Sharp Minima in Cone-Constrained Optimization Problems." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/909520

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1242.49052
MathSciNet: MR2910718
Digital Object Identifier: 10.1155/2012/909520

Rights: Copyright © 2012 Hindawi

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