Continuous selections via geodesics

Authors

  • Giovanni Colombo
  • Vladimir V. Goncharov

Keywords

Distance functions, metric projection, continuous dependence of geodesics, $\varphi$-convex sets

Abstract

Some continuous selection results for a class of nonconvex-valued maps are obtained. One of them contains Michael's theorem, in the case of a Hilbert codomain. Methods of nonsmooth analysis and $\Gamma$-convergence are used.

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Published

2001-09-01

How to Cite

1.
COLOMBO, Giovanni and GONCHAROV, Vladimir V. Continuous selections via geodesics. Topological Methods in Nonlinear Analysis. Online. 1 September 2001. Vol. 18, no. 1, pp. 171 - 182. [Accessed 4 December 2024].

Issue

Vol 18, No 1 (September 2001)

Section

Articles

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