Some notes on "Common fixed point of two R-weakly commuting mappings in b-metric spaces"

Very recently, Kumam et al. [J Funct Spaces, Volume 2015, Article ID: 350840] obtained some interesting common fixed point results for two mappings satisfying a generalized contractive condition in b{metric spaces without the assumption of the continuity of the b{metric, but unfortunately, there exists a gap in the proof of the main result. In this note, we point out and ll such gap by making some remarks and offering a new proof for the result. It should be mentioned that our proofs for some key assertions of the main result are new and somewhat different from the original ones. In addition, we also present a result to check the continuity of the b-metrics which is found effective and workable when applied to some examples.