quasiconvex optimization
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First- and Second-Order Asymptotic Analysis with Applications in Quasiconvex Optimization

2016 ◽  
Vol 170 (2) ◽  
pp. 372-393 ◽  
Author(s):  
F. Flores-Bazán ◽  
N. Hadjisavvas ◽  
F. Lara ◽  
I. Montenegro
Keyword(s):  
Asymptotic Analysis ◽  
Second Order ◽  
Quasiconvex Optimization

scholarly journals Strong and Total Lagrange Dualities for Quasiconvex Programming

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Donghui Fang ◽  
XianFa Luo ◽  
Xianyun Wang
Keyword(s):  
Optimization Problems ◽  
Constraint Qualifications ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Quasiconvex Programming ◽  
Quasiconvex Optimization ◽  
Necessary And Sufficient

We consider the strong and total Lagrange dualities for infinite quasiconvex optimization problems. By using the epigraphs of thez-quasi-conjugates and the Greenberg-Pierskalla subdifferential of these functions, we introduce some new constraint qualifications. Under the new constraint qualifications, we provide some necessary and sufficient conditions for infinite quasiconvex optimization problems to have the strong and total Lagrange dualities.

Interior proximal methods for quasiconvex optimization

2011 ◽  
Vol 52 (3) ◽  
pp. 641-661 ◽  
Author(s):  
Nils Langenberg ◽  
Rainer Tichatschke
Keyword(s):  
Proximal Methods ◽  
Quasiconvex Optimization

A Sufficient Descent Direction Method for Quasiconvex Optimization over Riemannian Manifolds

2010 ◽  
Author(s):  
J. X. da Cruz Neto ◽  
P. S. M. Santos ◽  
S. S. Souza ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Riemannian Manifolds ◽  
Descent Direction ◽  
Sufficient Descent ◽  
Quasiconvex Optimization
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