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.
Citation
Giovanni Colombo. Vladimir V. Goncharov. "Continuous selections via geodesics." Topol. Methods Nonlinear Anal. 18 (1) 171 - 182, 2001.
Information
Published: 2001
First available in Project Euclid: 22 August 2016
zbMATH: 1009.46010
MathSciNet: MR1888500
Rights: Copyright © 2001 Juliusz P. Schauder Centre for Nonlinear Studies