On the infimum of a quasiconvex function over an intersection. Application to the distance function

Juan Enrique Martínez-Legaz; Antonio Martinón

On the infimum of a quasiconvex function over an intersection. Application to the distance function

Juan Enrique Martínez-Legaz, Antonio Martinón

Departament d'Economia i d'Història Econòmica

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3 Citacions (Web of Science)

Resum

We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. © Heldermann Verlag.

Idioma original	Anglès
Pàgines (de-a)	687-698
Revista	Journal of Convex Analysis
Volum	18
Número	3
Estat de la publicació	Publicada - 26 d’ag. 2011

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title = "On the infimum of a quasiconvex function over an intersection. Application to the distance function",

abstract = "We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. {\textcopyright} Heldermann Verlag.",

keywords = "Distance to the intersection, Quasiconvex functions",

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year = "2011",

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T1 - On the infimum of a quasiconvex function over an intersection. Application to the distance function

AU - Martínez-Legaz, Juan Enrique

AU - Martinón, Antonio

PY - 2011/8/26

Y1 - 2011/8/26

N2 - We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. © Heldermann Verlag.

AB - We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. © Heldermann Verlag.

KW - Distance to the intersection

KW - Quasiconvex functions

M3 - Article

SN - 0944-6532

VL - 18

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EP - 698

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

IS - 3

ER -

On the infimum of a quasiconvex function over an intersection. Application to the distance function

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