A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.
"Common Fixed Points for Suzuki-Generalized Nonexpansive Maps." J. Appl. Math. 2013 (SI21) 1 - 5, 2013. https://doi.org/10.1155/2013/206759