‎‎‎Recently Samet et al. introduced the notion of $\alpha$-$\psi$-contractive type mappings and established some fixed point theorems in complete metric spaces. In this paper, we introduce $\alpha$-$(\psi,\varphi)$-contractive mappings and stablish coincidence and common fixed point theorems for two mapping in complete metric spaces. We present some examples to illustrate our results. As application, we establish an existence and uniqueness theorem for a solution of some integral ‎equations.‎ تفاصيل المقالة