Approximate selections in ${\alpha}$-convex metric spaces and topological degree
Słowa kluczowe
Continuous approximate selection, multifunction, convex metric space, pseudo-barycenter, topological degreeAbstrakt
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.Pobrania
Opublikowane
2004-12-01
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1.
DE BLASI, Francesco S. & PIANIGIANI, Giulio. Approximate selections in ${\alpha}$-convex metric spaces and topological degree. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2004, T. 24, nr 2, s. 347–375. [udostępniono 22.7.2024].
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