Back to Search
Start Over
On a problem of Janusz Matkowski and Jacek Wesołowski, II.
- Source :
- Aequationes Mathematicae; Feb2019, Vol. 93 Issue 1, p91-108, 18p
- Publication Year :
- 2019
-
Abstract
- We continue our study started in Morawiec and Zürcher (Aequ Math 92(4):601-615, 2018) of the functional equation φ(x)=∑n=0Nφ(fn(x))-∑n=0Nφ(fn(0))and its increasing and continuous solutions φ:[0,1]→[0,1] such that φ(0)=0 and φ(1)=1. In this paper we assume that f0,...,fN:[0,1]→[0,1] are strictly increasing contractions such that 0≤f0(0)<f0(1)≤f1(0)<⋯<fN-1(1)≤fN(0)<fN(1)≤1and at least one of the weak inequalities is strong. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 93
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 135067997
- Full Text :
- https://doi.org/10.1007/s00010-018-00636-3