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

Author:

Flores-Bazán Fabián,Echegaray William,Flores-Bazán Fernando,Ocaña Eladio

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

CONCYTEC

Programa de Innovacion para la Competetitividad y Productividad

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization,Computer Science Applications

Reference51 articles.

1. Auslender, A.: Existence of optimal solutions and duality results under weak conditions. Math. Program. A 88, 45–59 (2000)

2. Auslender, A., Teboulle, M.: Asymptotic Cones and Functions in Optimization and Variational Inequalities. Springer, New York (2003)

3. Beck, A.: On the convexity of a class of quadratic mappings and its application to the problem of finding the smallest ball enclosing a given intersection of balls. J. Global Optim. 39, 113–126 (2007)

4. Borwein, J.M., Burachik, R., Yao, L.: Conditions for zero duality gap in convex programming. J. Convex Nonlinear Anal. 15, 167–190 (2014)

5. Bot, R.I.: Conjugate Duality in Convex Optimization. Springer, Berlin (2010)

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