Common coupled fixed point theorems of single-valued mapping for \(c\)-distance in cone metric spaces
Summary: The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A~new concept of \(c\)-distance in cone metric space has been recently introduced [\textit{Y. J. Cho}, \textit{R. Saadati} and \textit{S.-H. Wang}, Comput. Math. Appl. 61, No.~4, 1254--1260 (2011; Zbl 1217.54041)]. Then, coupled fixed point results for contraction-type mappings in ordered cone metric spaces and cone metric spaces have been considered [\textit{Z. M. Fadail} and \textit{A. G. B. Ahmad}, J. Appl. Math. 2012, Article ID 246516 (2012; Zbl 1251.54043)]. In the present paper, some common coupled fixed point results on \(c\)-distance in cone metric spaces are obtained. Some supporting examples are given.
scientific article; zbMATH DE number 6078831
scientific article