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.

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The author post-print has been archived here with permission from the copyright holder.

Publication Title

Journal of Fixed Point Theory and Applications

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

Available for download on Monday, July 01, 2019

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