cone constrained optimization
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scholarly journals Necessary Conditions for Weak Sharp Minima in Cone-Constrained Optimization Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
W. Y. Zhang ◽  
S. Xu ◽  
S. J. Li
Keyword(s):  
Normal Cone ◽  
Necessary Conditions ◽  
Optimization Problems ◽  
Necessary Condition ◽  
Directional Derivatives ◽  
Weak Sharp Minima ◽  
Dini Directional Derivatives ◽  
Cone Constrained Optimization ◽  
Weak Sharp ◽  
Sharp Minima

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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