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Dipòsit Digital de Documents de la UAB 5 registres trobats  La cerca s'ha fet en 0.04 segons. 
1.
11 p, 254.6 KB On Bregman-type distances and their associated projection mappings / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Tamadoni Jahromi, Maryam (Department of Mathematics. Yasouj University) ; Naraghirad, Eskandar (Yasouj University. Department of Mathematics)
We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.
2022 - 10.1007/s10957-021-01970-4
Journal of optimization theory and applications, Vol. 193, núm. 1-3 (June 2022) , p. 107-117  
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2.
29 p, 554.8 KB On the structure of higher order Voronoi cells / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona) ; Roshchina, Vera (University of New South Wales (Australia)) ; Todorov, Maxim (Universidad de las Américas Puebla)
The classic Voronoi cells can be generalized to a higher order version by considering the cells of points for which a given k-element subset of the set of sites consists of the k closest sites. We study the structure of the k-order Voronoi cells and illustrate our theoretical findings with a case study of two-dimensional higher order Voronoi cells for four points.
2019 - 10.1007/s10957-019-01555-2
Journal of optimization theory and applications, Vol. 183 (2019) , p. 24-49  
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3.
17 p, 476.7 KB A quasiconvex asymptotic function with applications in optimization / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona) ; Hadjisavvas, Nicolas (University of the Aegean) ; Lara, Felipe (Universidad de Tarapacá)
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. [...]
2018 - 10.1007/s10957-018-1317-2
Journal of optimization theory and applications, Vol. 180, Núm. 1 (January 2019) , p. 170-186  
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4.
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
Journal of optimization theory and applications, Vol. 176, Núm. 3 (2018) , p. 527-540  
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5.
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  
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