Abstract
The aim of this paper is to prove that every Borsuk continuous set-valued map of the closed ball in the 3-dimensional Euclidean space, taking values which are one point sets or knots, has a fixed point. This result is a special case of the Górniewicz Conjecture.
Citation
Dariusz Miklaszewski. "A fixed point theorem for multivalued mappings with nonacyclic values." Topol. Methods Nonlinear Anal. 17 (1) 125 - 131, 2001.
Information
Published: 2001
First available in Project Euclid: 22 August 2016
zbMATH: 0985.55004
MathSciNet: MR1846982
Rights: Copyright © 2001 Juliusz P. Schauder Centre for Nonlinear Studies
