Email this article The Fixed-Point Property Under Induced Interval Maps of Continua
- Authors: Robatian D.1
-
Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 215, No 3 (2016)
- Pages: 376-386
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237603
- DOI: https://doi.org/10.1007/s10958-016-2844-8
- ID: 237603
Cite item
Open Access
Access granted
Subscription Access
Abstract
Let f : I → I be a continuous map of a compact interval I and let C(I) be hyperspace of all compact subintervals of I equipped with the Hausdorff metric. We study the fixed-point property of the subsets of C (I) with respect to any induced interval map ℱ : C (I) → C (I). In particular, we prove that any nonempty subcontinuum of C (I) possesses the fixed-point property.
About the authors
D. Robatian
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Tereshchenkivska str., 3, Kyiv, 01601
