Weak Sharp Minima for Semi-infinite Optimization Problems with Applications

2007 ◽  
Vol 18 (2) ◽  
pp. 573-588 ◽  
Author(s):  
Xi Yin Zheng ◽  
Xiao Qi Yang
Keyword(s):  
Optimization Problems ◽  
Weak Sharp Minima ◽  
Weak Sharp ◽  
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.

Weak Sharp Minima for Convex Infinite Optimization Problems in Normed Linear Spaces

2018 ◽  
Vol 28 (3) ◽  
pp. 1999-2021
Author(s):  
Chong Li ◽  
Li Meng ◽  
Lihui Peng ◽  
Yaohua Hu ◽  
Jen-Chih Yao
Keyword(s):  
Optimization Problems ◽  
Linear Spaces ◽  
Weak Sharp Minima ◽  
Normed Linear Spaces ◽  
Weak Sharp ◽  
Sharp Minima

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
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