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Epsilon Nielsen fixed point theory

Fixed Point Theory and Applications volume 2006, Article number: 29470 (2006) Cite this article

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.

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

    Robert F Brown

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  1. Robert F Brown
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Correspondence to Robert F Brown.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Brown, R.F. Epsilon Nielsen fixed point theory. Fixed Point Theory Appl 2006, 29470 (2006). https://doi.org/10.1155/FPTA/2006/29470

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

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