A Note on a Claim of Rao and Rao for a Pair of Commuting Self-maps

In obtaining a generalization of a result of Das and Naik (1979) for a pair of commuting self-maps on a complete metric space, I.H. Nagaraja Rao and K.P.R. Rao replaced the continuity condition with a new condition. Further they claimed that the latter was weaker than the continuity. In this note we disprove their argument and give a unified version of the results of Das and Naik and of Rao and Rao.