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On Almost-Fixed-Point Theory

Published online by Cambridge University Press:  20 November 2018

Michiel Hazewinkel  and
Marcel Van De Vel
Michiel Hazewinkel
Affiliation:
Erasmus University of Rotterdam, Rotterdam, The Netherlands
Marcel Van De Vel
Affiliation:
Erasmus University of Rotterdam, Rotterdam, The Netherlands
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Let X be a topological space, a finite covering of X (the words ‘covering’ and ‘cover’ are used interchangeably). We say that has the almost fixed point property for a class of continuous maps f : X → X if for all there is an x ∈ X and such that x ∈ U and f(x) ∈ U, or, equivalently, if there is a such that .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 673 - 699
Copyright
Copyright © Canadian Mathematical Society 1978

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