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Zbl 0567.54029
Sakai, Kazu-Hiro
Periodic points of positively expansive maps. (English)
[J] Proc. Am. Math. Soc. 94, 531-534 (1985). ISSN 0002-9939; ISSN 1088-6826/e

Stability of fixed points of a uniformly convergent sequence of open $\epsilon$-locally expansive maps of a compact connected locally connected metric space is studied by Hu and Rosen. Under the same assumption we prove a stability result stronger than theirs.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E40 Special maps on metric spaces

Keywords: periodic points; pseudo-orbit tracing property; uniformly convergent sequence of open $\epsilon $ -locally expansive maps; compact connected locally connected metric space; stability

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