The fixed point index for local condensing maps

Roger D. Nussbaum

Research output: Contribution to journalArticlepeer-review

213 Scopus citations


We define below a fixed point index for local condensing maps f defined on open subset of «nice» metric ANR's. We prove that all the properties of classical fixed point index for continuous maps defined in compact polyhedra have appropriate generalizations. If our map is compact (a special case of a condensing map) and defined on an open subset of a Banach space, we prove that our fixed point index agrees with Leray-Schauder degree.

Original languageEnglish (US)
Pages (from-to)217-258
Number of pages42
JournalAnnali di Matematica Pura ed Applicata, Series 4
Issue number1
StatePublished - Dec 1971

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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