The Fixed Point of the Composition of Derivatives
Classical Analysis and ODEs
2011-09-27 v1
Abstract
We give an affirmative answer to a question of K. Ciesielski by showing that the composition of two derivatives always has a fixed point. Using Maximoff's Theorem we obtain that the composition of two Darboux Baire-1 functions must also have a fixed point.
Keywords
Cite
@article{arxiv.1109.5303,
title = {The Fixed Point of the Composition of Derivatives},
author = {Márton Elekes and Tamás Keleti and Vilmos Prokaj},
journal= {arXiv preprint arXiv:1109.5303},
year = {2011}
}