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f (f(x) + y) = f(x + y) + f (0), stricly increasing

Source: Austrian Polish 1988 APMC

April 30, 2020
functionalfunctional equationIncreasingalgebra

Problem Statement

Determine all strictly increasing functions f:R→Rf: R \to R satisfying f(f(x)+y)=f(x+y)+f(0)f (f(x) + y) = f(x + y) + f (0) for all x,y∈Rx,y \in R.
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