Sufficient Conditions for Weak Sharp Minima of Order Two and Directional Derivatives of the Value Function

2020 ◽  
pp. 419-436
Author(s):  
Doug Ward
Keyword(s):  
Value Function ◽  
Sufficient Conditions ◽  
Directional Derivatives ◽  
Weak Sharp Minima ◽  
Derivatives Of ◽  
Weak Sharp ◽  
The Value Function ◽  
Sharp Minima

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.

New characterizations of weak sharp minima

2011 ◽  
Vol 6 (8) ◽  
pp. 1773-1785 ◽  
Author(s):  
Jinchuan Zhou ◽  
Changyu Wang
Keyword(s):  
Weak Sharp Minima ◽  
Weak Sharp ◽  
Sharp Minima

scholarly journals Nonconvex Weak Sharp Minima on Riemannian Manifolds

2019 ◽  
Vol 183 (1) ◽  
pp. 85-104
Author(s):  
Mohammad Mahdi Karkhaneei ◽  
Nezam Mahdavi-Amiri
Keyword(s):  
Riemannian Manifolds ◽  
Weak Sharp Minima ◽  
Weak Sharp ◽  
Sharp Minima

Global Weak Sharp Minima on Banach Spaces

2003 ◽  
Vol 41 (6) ◽  
pp. 1868-1885 ◽  
Author(s):  
Kung Fu Ng ◽  
Xi Yin Zheng
Keyword(s):  
Banach Spaces ◽  
Weak Sharp Minima ◽  
Weak Sharp ◽  
Sharp Minima
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