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Fixed point linked with a periodic orbit of a diffeomorphism of $$\mathbb{R}{}^ 2$$. (Point fixe lié à une orbite périodique d’un difféomorphisme de $$\mathbb{R}{}^ 2$$.) (French) Zbl 0755.58008
For a given $$C^ 1$$-diffeomorphism of $$\mathbb{R} ^ 2$$ which possesses a periodic orbit, the author shows how Nielsen fixed point theory can be used to establish the existence of a fixed point linked with this periodic orbit.
Reviewer: W.Mozgawa (Lublin)
##### MSC:
 58C30 Fixed-point theorems on manifolds 57R50 Differential topological aspects of diffeomorphisms