We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).
"A Common Fixed Point Theorem in Metric Space under General Contractive Condition." J. Appl. Math. 2013 (SI21) 1 - 7, 2013. https://doi.org/10.1155/2013/510691