Abstract
We continue our study started in Morawiec and Zürcher (Aequ Math 92(4):601–615, 2018) of the functional equation
and its increasing and continuous solutions \(\varphi :[0,1]\rightarrow [0,1]\) such that \(\varphi (0)=0\) and \(\varphi (1)=1\). In this paper we assume that \(f_0,\ldots ,f_N:[0,1]\rightarrow [0,1]\) are strictly increasing contractions such that
and at least one of the weak inequalities is strong.
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Dedicated to Professor Karol Baron on the occasion of his 70th birthday.
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Morawiec, J., Zürcher, T. On a problem of Janusz Matkowski and Jacek Wesołowski, II. Aequat. Math. 93, 91–108 (2019). https://doi.org/10.1007/s00010-018-00636-3
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DOI: https://doi.org/10.1007/s00010-018-00636-3