Epsilon Nielsen fixed point theory

Let f:X→X be a map of a compact, connected Riemannian manifold, with or without boundary. For ∈>0 sufficiently small, we introduce an ∈-Nielsen number N∈(f) that is a lower bound for the number of fixed points of all self-maps of X that are ∈-homotopic to f. We prove that...

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Bibliographic Details
Main Author: Robert F. Brown
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/29470