Common fixed-point theorem for commuting maps on a metric space

Several novel uses of theorems for fixed points in commuting mapping in a fully metric domain are presented. Several conclusions from full metric fixed point theory are improved and extended by our work. Our proofs are inspired by the study of commuting mappings B. Fisher and S. Sessa, on a fixed point theorem of Gregus, 1986 and P. Sumati Kumari, Fixed and periodic point theory in certain spaces, 2013.