UAB Digital Repository of Documents 2 records found  Search took 0.01 seconds. 
1.
21 p, 1.1 MB A general nonconvex multiduality principle / Bonenti, Francesca (Open Capital Partners SGR) ; Martínez-Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d’Economia i d’Història Econòmica) ; Riccardi, Rossana (Università degli Studi di Brescia. Dipartimento di Economia e Management)
We introduce a (possibly infinite) collection of mutually dual nonconvex optimization problems, which share a common optimal value, and give a characterization of their global optimal solutions. As immediate consequences of our general multiduality principle, we obtain Toland–Singer duality theorem as well as an analogous result involving generalized perspective functions. [...]
2018 - 10.1007/s10957-018-1245-1#citeas
Journal of Optimization Theory and Applications, Vol. 176, Núm. 3 (2018) , p. 527-540  
2.
9 p, 292.0 KB On the existence of a saddle value / Bonenti, F. (Università degli Studi di Brescia. Dipartimento di Economia e Management) ; Martínez-Legaz, Juan-Enrique (Universitat Autònoma de Barcelona. Departament d’Economia i d’Història Econòmica)
In this work, we achieve a complete characterization of the existence of a saddle value, for bifunctions which are convex, proper, and lower semi continuous in their first argument, by considering new suitably defined notions of special directions of recession. [...]
2015 - 10.1007/s10957-014-0665-9
Journal of Optimization Theory and Applications, Vol. 165, Núm. 3 (2015) , P. 785-792  

Interested in being notified about new results for this query?
Set up a personal email alert or subscribe to the RSS feed.