Open AccessFixed point indices of iterations of planar homeomorphisms
Author(s) -
Grzegorz Graff,
Piotr Nowak-Przygodzki
Publication year - 2003
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2003.033
Subject(s) - mathematics , fixed point index , planar , fixed point , homeomorphism (graph theory) , sequence (biology) , point (geometry) , combinatorics , discrete mathematics , mathematical analysis , geometry , boundary value problem , computer science , biology , genetics , computer graphics (images)
Let $f$ be a local planar homeomorphismwith an isolated fixed point at $0$. We study the form of thesequence $\{\ind(f^n,0)\}_{n\not=0},$ where $\ind(f,0)$ is afixed point index at $0$.
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