@Article{Akkouchi2011, author = "Akkouchi, Mohamed", title = "A Meir-Keeler type common fixed point theorem for four mappings", journal = "Opuscula Math.", year = "2011", volume = "31", number = "1", pages = "5--14", doi = "http://dx.doi.org/10.7494/OpMath.2011.31.1.5", url = "http://dx.doi.org/10.7494/OpMath.2011.31.1.5", abstract = "In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a metric space satisfying a weak Meir-Keeler type contractive condition by using a class of implicit relations. In particular, our result generalizes and improves a result of K. Jha, R.P. Pant, S.L. Singh, by removing the assumption of continuity, relaxing compatibility to weakly compatibility property and replacing the completeness of the space with a set of four alternative conditions for maps satisfying an implicit relation. Also, our result improves the main result of H. Bouhadjera, A. Djoudi.", keywords = "common fixed point for four mappings, weakly compatible mappings, Meir-Keeler type contractive condition, complete metric spaces", issn = "1232-9274" }