On the Existence of a Saddle Value

F. Bonenti; J. E. Martínez-Legaz

doi:10.1007/s10957-014-0665-9

On the Existence of a Saddle Value

F. Bonenti, J. E. Martínez-Legaz

Departamento de Economía y de Historia Económica

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

3 Citas (Scopus)

Resumen

© 2014, Springer Science+Business Media New York. 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. As special cases, we obtain some recent results of Lagrangian duality theory on zero duality gap for convex programs.

Idioma original	Inglés
Páginas (desde-hasta)	785-792
Publicación	Journal of Optimization Theory and Applications
Volumen	165
N.º	3
DOI	https://doi.org/10.1007/s10957-014-0665-9
Estado	Publicada - 1 jun 2015

Acceder al documento

10.1007/s10957-014-0665-9

https://ddd.uab.cat/record/184710

Otros archivos y enlaces

https://www.scopus.com/pages/publications/84939983142

Citar esto

@article{061804be161a45668eb0b5098b5172df,

title = "On the Existence of a Saddle Value",

abstract = "{\textcopyright} 2014, Springer Science+Business Media New York. 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. As special cases, we obtain some recent results of Lagrangian duality theory on zero duality gap for convex programs.",

keywords = "Convex programming, Lagrangian duality, Saddle value",

author = "F. Bonenti and Mart{\'i}nez-Legaz, \{J. E.\}",

year = "2015",

month = jun,

day = "1",

doi = "10.1007/s10957-014-0665-9",

language = "English",

volume = "165",

pages = "785--792",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - On the Existence of a Saddle Value

AU - Bonenti, F.

AU - Martínez-Legaz, J. E.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - © 2014, Springer Science+Business Media New York. 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. As special cases, we obtain some recent results of Lagrangian duality theory on zero duality gap for convex programs.

AB - © 2014, Springer Science+Business Media New York. 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. As special cases, we obtain some recent results of Lagrangian duality theory on zero duality gap for convex programs.

KW - Convex programming

KW - Lagrangian duality

KW - Saddle value

UR - https://www.scopus.com/pages/publications/84939983142

U2 - 10.1007/s10957-014-0665-9

DO - 10.1007/s10957-014-0665-9

M3 - Article

SN - 0022-3239

VL - 165

SP - 785

EP - 792

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

On the Existence of a Saddle Value

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto