Continuous selections via geodesics
KeywordsDistance functions, metric projection, continuous dependence of geodesics, $\varphi$-convex sets
AbstractSome 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.
How to Cite
COLOMBO, Giovanni & GONCHAROV, Vladimir V. Continuous selections via geodesics. Topological Methods in Nonlinear Analysis [online]. 1 September 2001, T. 18, nr 1, s. 171–182. [accessed 6.2.2023].
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