Zero duality gap in surrogate constraint optimization: A concise review of models

2014 ◽  
Vol 232 (2) ◽  
pp. 241-248 ◽  
Author(s):  
Bahram Alidaee
Keyword(s):  
Duality Gap ◽  
Constraint Optimization ◽  
Zero Duality Gap ◽  
Surrogate Constraint ◽  
Concise Review

Zero duality gap conditions via abstract convexity∗

Optimization ◽  
2021 ◽  
pp. 1-37
Author(s):  
Hoa T. Bui ◽  
Regina S. Burachik ◽  
Alexander Y. Kruger ◽  
David T. Yost
Keyword(s):  
Duality Gap ◽  
Abstract Convexity ◽  
Zero Duality Gap

Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap

2017 ◽  
Vol 69 (4) ◽  
pp. 823-845 ◽  
Author(s):  
Fabián Flores-Bazán ◽  
William Echegaray ◽  
Fernando Flores-Bazán ◽  
Eladio Ocaña
Keyword(s):  
Nonconvex Optimization ◽  
Strong Duality ◽  
Duality Gap ◽  
Zero Duality Gap

Characterizations of ɛ-duality gap statements for constrained optimization problems

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Horaţiu-Vasile Boncea ◽  
Sorin-Mihai Grad
Keyword(s):  
Constrained Optimization ◽  
Optimization Problems ◽  
Duality Gap ◽  
Regularity Conditions ◽  
Locally Convex Spaces ◽  
Zero Duality Gap ◽  
Constrained Optimization Problems ◽  
Locally Convex ◽  
Convex Spaces

AbstractIn this paper we present different regularity conditions that equivalently characterize various ɛ-duality gap statements (with ɛ ≥ 0) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and ɛ-subdifferentials. When ɛ = 0 we rediscover recent results on stable strong and total duality and zero duality gap from the literature.

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