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  • Research Article
  • Open Access

Epsilon Nielsen fixed point theory

Fixed Point Theory and Applications20062006:29470

https://doi.org/10.1155/FPTA/2006/29470

  • Received: 11 October 2004
  • Accepted: 21 July 2005
  • Published:

Abstract

Let be a map of a compact, connected Riemannian manifold, with or without boundary. For sufficiently small, we introduce an -Nielsen number that is a lower bound for the number of fixed points of all self-maps of that are -homotopic to . We prove that there is always a map that is -homotopic to such that has exactly fixed points. We describe procedures for calculating for maps of -manifolds.

Keywords

  • Differential Geometry
  • Point Theory
  • Computational Biology
  • Fixed Point Theory
  • Nielsen Fixed Point Theory

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Authors’ Affiliations

(1)
Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA

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