Continuous Selections in α-Convex Metric Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 Italy English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Bulletin of the Polish Academy of Sciences Mathematics, volume 52, pages 303-317 (issn: 0239-7269, eissn: 1732-8985,

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Authors: DE BLASI, FRANCESCO SAVERIO; PIANIGIANI, GIULIO;

doi: 10.4064/ba52-3-10

handle: 2158/326210

Continuous Selections in α-Convex Metric Spaces

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Abstract

Un espace métrique \((Y,d)\) est appelé \(\alpha\)-convexe s'il existe une fonction continue \(\alpha:Y\times Y\times [0,1]\to Y\) vérifiant (i) \(\alpha(y,y,t)=y\), (ii) \(\alpha(y_1,y_2,0)=y_1\) et \(\alpha(y_1,y_2,1)=y_2\), (iii) il existe \(r>0\) tel que, pour tout \(0<\varepsilon

Country

Italy

Related Organizations

University of Florence
Italy
New York University
Italy

Keywords

continuous selection, continuous selections; Metric spaces, Selections in general topology, convex metric space, Set-valued maps in general topology

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