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On the local structure of $omega$-limit sets of maps

✍ Scribed by Poláčik, P.; Brunovský, P.


Book ID
113011447
Publisher
Springer
Year
1997
Tongue
English
Weight
284 KB
Volume
48
Category
Article
ISSN
0044-2275

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The Omega Limit Sets of Ray-Contractive
✍ Yong-Zhuo Chen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 83 KB

In this paper, we study the omega limit sets of a ray-contractive map T without the compactness assumption on the orbits. If there exists a compact subset of • K (the interior of a closed convex cone K) such that T = and T K -0 ⊂ • K, then we are able to prove that ω x either consists of a single p