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Merging of degree and index theory

Fixed Point Theory and Applications volume 2006, Article number: 36361 (2006) Cite this article

Abstract

The topological approaches to find solutions of a coincidence equation can roughly be divided into degree and index theories. We describe how these methods can be combined. We are led to a concept of an extended degree theory for function triples which turns out to be natural in many respects. In particular, this approach is useful to find solutions of inclusion problems . As a side result, we obtain a necessary condition for a compact AR to be a topological group.

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  1. Institute of Mathematics, University of Würzburg, Am Hubland, Würzburg, 97074, Germany

    Martin Väth

  2. Department of Mathematics and Computer Science (WE1), Free University of Berlin, Arnimallee 2-6, Berlin, 14195, Germany

    Martin Väth

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Väth, M. Merging of degree and index theory. Fixed Point Theory Appl 2006, 36361 (2006). https://doi.org/10.1155/FPTA/2006/36361

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