Approximate selections in ${\alpha}$-convex metric spaces and topological degree
Keywords
Continuous approximate selection, multifunction, convex metric space, pseudo-barycenter, topological degreeAbstract
The existence of continuous approximate selections is proved for a class of upper semicontinuous multifunctions taking closed $\alpha$-convex values in a metric space equipped with an appropriate notion of $\alpha$-convexity. The approach is based on the definition of pseudo-barycenter of an ordered $n$-tuple of points. As an application, a notion of topological degree for a class of $\alpha$-convex multifunctions is developed.Downloads
Published
2004-12-01
How to Cite
1.
DE BLASI, Francesco S. and PIANIGIANI, Giulio. Approximate selections in ${\alpha}$-convex metric spaces and topological degree. Topological Methods in Nonlinear Analysis. Online. 1 December 2004. Vol. 24, no. 2, pp. 347 - 375. [Accessed 28 March 2024].
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