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Functional Analysis Valencia 2010
June 7-12, 2010
Universidad de Valencia, Universidad Politécnica de Valencia
Valencia, Spain

Organizers
Scientific Committee: Richard Aron (Kent State University, USA), José Bonet (Universidad Politécnica de Valencia, Spain), Bernardo Cascales (Universidad de Murcia, Spain), Joan Cerdá (Universidad de Barcelona, Spain), Reinhold Meise (Heinrich-Heine-Universität Düsseldorf, Germany), Manuel Maestre (Universidad de Valencia, Spain), Jean Schmets (Liège, Belgium), Ignacio Zalduendo (Universidad Di Tella, Buenos Aires, Argentina), Organizing Committee: José Bonet (Universidad Politécnica de Valencia, Spain), Carmen Fernández (Universidad de Valencia, Spain), Antonio Galbis (Universidad de Valencia, Spain), Domingo García (Universidad de Valencia, Spain), Manuel López Pellicer (Universidad Politécnica de Valencia, Spain), Manuel Maestre (Universidad de Valencia, Spain), Felix Martínez (Universidad Politécnica de Valencia, Spain), Pablo Sevilla (Universidad Politécnica de Valencia, Spain).

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On the infimum of a quasiconvex function on an intersection. Application to the distance function
by
Juan Enrique Martínez-Legaz
Universitat Autònoma de Barcelona
Coauthors: Antonio Martinón

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

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

J.E. Martínez-Legaz

A. Martinón

Universitat Autònoma de Barcelona
08193 Bellaterra
Spain

Universidad de La Laguna
38271 La Laguna
Spain

In this paper we give sufficient conditions for the infimum of a quasiconvex function f on an intersection ∩i ∈ IRi to agree with the supremum of the infima of f on the Ri's. We apply these results to the distance function in a normed space.

Date received: October 8, 2009


Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayz-03.