New duality results for evenly convex optimization problems.
Optimization
; 70(9): 1837-1858, 2021.
Article
em En
| MEDLINE
| ID: mdl-34531627
ABSTRACT
We present new results on optimization problems where the involved functions are evenly convex. By means of a generalized conjugation scheme and the perturbation theory introduced by Rockafellar, we propose an alternative dual problem for a general optimization one defined on a separated locally convex topological space. Sufficient conditions for converse and total duality involving the even convexity of the perturbation function and c-subdifferentials are given. Formulae for the c-subdifferential and biconjugate of the objective function of a general optimization problem are provided, too. We also characterize the total duality by means of the saddle-point theory for a notion of Lagrangian adapted to the considered framework.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Optimization
Ano de publicação:
2021
Tipo de documento:
Article