Continuous Selections in α-Convex Metric Spaces
F. S. De Blasi ; G. Pianigiani
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 303-317 / Harvested from The Polish Digital Mathematics Library
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The existence of continuous selections is proved for a class of lower semicontinuous multifunctions whose values are closed convex subsets of a complete metric space equipped with an appropriate notion of convexity. The approach is based on the notion of pseudo-barycenter of an ordered n-tuple of points.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:281055 
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     title = {Continuous Selections in $\alpha$-Convex Metric Spaces},
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     year = {2004},
     pages = {303-317},
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     language = {en},
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F. S. De Blasi; G. Pianigiani. Continuous Selections in α-Convex Metric Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 303-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-10/