  We use techniques of proof mining to extract computable and uniform rates of
metastability (in the sense of Tao) for iterations of continuous functions on
the unit interval, firstly (following earlier work of Gaspar) out of
convergence proofs due to Franks, Marzec, Rhoades and Hillam and then out of an
argument due to Borwein and Borwein that pertains only to Lipschitz functions.
