A fixed point theorem for bounded dynamical systems
نویسندگان
چکیده
منابع مشابه
A Fixed Point Theorem for Bounded Dynamical Systems
We show that a continuous map or a continuous flow on Rn with a certain recurrence relation must have a fixed point. Specifically, if there is a compact set W with the property that the forward orbit of every point in R n intersects W then there is a fixed point in W . Consequently, if the omega limit set of every point is nonempty and uniformly bounded then there is a fixed point. In this note...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2002
ISSN: 0019-2082
DOI: 10.1215/ijm/1258136205