Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions

The existence and uniqueness of common fixed points for four mappings satisfying ψ- and (ψ,φ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(\psi, \varphi)$\end{document}-weakly contractive conditions in metric spaces are proved. Four examples are given to demonstrate that the results presented in this paper generalize indeed some well-known results in the literature.