In this paper we introduce a contractive condition, called $\varphi \textrm{-}pair$, for two mappings in the framework of cone metric spaces and we prove a theorem which assures existence and uniqueness of common fixed points for $\varphi \textrm{-}pairs$. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.
DI BARI C, VETRO P (2008). $varphi$-pairs and common fixed points in cone metric spaces. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 57(2), 279-285 [10.1007/s12215-008-0020-9].
$varphi$-pairs and common fixed points in cone metric spaces
DI BARI, Cristina;VETRO, Pasquale
2008-01-01
Abstract
In this paper we introduce a contractive condition, called $\varphi \textrm{-}pair$, for two mappings in the framework of cone metric spaces and we prove a theorem which assures existence and uniqueness of common fixed points for $\varphi \textrm{-}pairs$. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.
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