Annales Mathematicae Silesianae, Nr 7 (1993), s. 17-55
We deal with the functional equation
where functions F and g are given, defined in open subsets of Banach spaces
and taking values in Banach spaces as well. We prove theorems on the existtence
and uniqueness of solutions of the equation in classes of differentiable
functions. As corollaries we get some results on the conjugacy of diffeomorphisms.
Analogous results have been known in the finite dimensional case