A remark to the paper “On condensing discrete dynamical systems”. (English) Zbl 0996.37008

Šeda, Valter

Math. Bohem. 126, No. 3, 551-553 (2001).

Summary: A new proof of Lemma 11 in the author’s paper [ibid. 125, 275-306 (2000; Zbl 0972.37009)] is given. Its original proof was based on Theorem 3 which has been shown to be incorrect.

MSC:

37B05	Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
47H10	Fixed-point theorems
47H09	Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

condensing discrete dynamical system; singular interval; stability; order-preserving mapping

Citations:

Zbl 0972.37009