Author:
Hazewinkel Michiel,Van De Vel Marcel
Abstract
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 .
Publisher
Canadian Mathematical Society
Cited by
8 articles.
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1. Approximate Fixed Points in Topological Vector Spaces;Topology and Approximate Fixed Points;2021-12-08
2. On topological groups with an approximate fixed point property;Anais da Academia Brasileira de Ciências;2017-03
3. Optimal approximate fixed point results in locally convex spaces;Journal of Mathematical Analysis and Applications;2013-05
4. On the approximate fixed point property in abstract spaces;Mathematische Zeitschrift;2011-07-08
5. Almost fixed point theorems I;Nonlinear Analysis: Theory, Methods & Applications;2001-08