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Abstract and Applied AnalysisVolume 2012 2012, Article ID 909520, 11 pages

Research Article

School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China

Rear Services Office, Chongqing Police College, Chongqing 401331, China

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received 11 January 2012; Accepted 29 January 2012

Academic Editor: Bevan Thompson

Copyright © 2012 W. Y. Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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

Autor: W. Y. Zhang, S. Xu, and S. J. Li



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