Original Paper


, Volume 20, Issue 2, pp 503-516

First online:

On the infimum of a quasiconvex vector function over an intersection

  • Juan-Enrique Martínez-LegazAffiliated withDepartament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona Email author 
  • , Antonio MartinónAffiliated withDepartamento de Análisis Matemático, Universidad de La Laguna

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We give sufficient conditions for the infimum of a quasiconvex vector function f over an intersection \(\bigcap_{i\in I}R_{i}\) to agree with the supremum of the infima of f over the R i ’s.


Quasiconvex functions Distance to the intersection

Mathematics Subject Classification (2000)

06F20 52A41 54E99