Exact Regularization, and Its Connections to Normal Cone Identity and Weak Sharp Minima in Nonlinear Programming

2015 ◽  
pp. 175-182
Author(s):  
S. Deng
Keyword(s):  
Nonlinear Programming ◽  
Normal Cone ◽  
Weak Sharp Minima ◽  
Weak Sharp ◽  
Sharp Minima ◽  
Exact Regularization

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

scholarly journals Generalized weak sharp minima of variational inequality problems with functional constraints

2013 ◽  
Vol 9 (3) ◽  
pp. 621-630 ◽  
Author(s):  
Wenyan Zhang ◽  
◽  
Shu Xu ◽  
Shengji Li ◽  
Xuexiang Huang ◽  
...  
Keyword(s):  
Variational Inequality ◽  
Variational Inequality Problems ◽  
Functional Constraints ◽  
Weak Sharp Minima ◽  
Weak Sharp ◽  
Sharp Minima
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