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

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Web of Science)

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. © Heldermann Verlag.

Original language	English
Pages (from-to)	687-698
Journal	Journal of Convex Analysis
Volume	18
Issue number	3
Publication status	Published - 26 Aug 2011

Keywords

Distance to the intersection
Quasiconvex functions

Cite this

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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.",

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AU - Martinón, Antonio

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KW - Quasiconvex functions

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JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

SN - 0944-6532

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

Abstract

Keywords

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