Document Type
Article
Article Version
Post-print
Publication Date
2018
Abstract
We give an axiomatic characterization of the fixed point index of an n-valued map. For n-valued maps on a polyhedron, the fixed point index is shown to be unique with respect to axioms of homotopy invariance, additivity, and a splitting property. This uniqueness is used to obtain easy proofs of an averaging formula and product formula for the index. In the setting of n-valued maps on a manifold, we show that the axioms can be weakened.
Publication Title
Journal of Fixed Point Theory and Applications
Repository Citation
Staecker, Christopher P., "Axioms for the fixed point index of n-valued maps, and some applications" (2018). Mathematics Faculty Publications. 51.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/51
Published Citation
Staecker, P. C. (2018). Axioms for the fixed point index of n-valued maps, and some applications. Journal of Fixed Point Theory and Applications, 20(61). doi:10.1007/s11784-018-0543-4.
DOI
10.1007/s11784-018-0543-4
Peer Reviewed
Comments
Copyright 2018 Springer-Verlag
“This is a post-peer-review, pre-copyedit version of an article published in Journal of Fixed Point Theory and Applications. The final authenticated version is available online at: http://dx.doi.org/ 10.1007/s11784-018-0543-4”.
The author post-print has been archived here with permission from the copyright holder.