Chen, Chi-Ming; Chang, Tong-Huei Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces. (English) Zbl 1196.54067 Appl. Math. Lett. 23, No. 11, 1336-1341 (2010). Summary: We define a weaker Meir-Keeler type function \(\psi: \operatorname{int} P \cup \{0\} \to \operatorname{int} P \cup \{0\}\) in a cone metric space, and under this weaker Meir-Keeler type function, we show common fixed point theorems for four single-valued functions in cone metric spaces. Cited in 6 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems Keywords:cone metric space; common fixed point theorem; compatible; weaker Meir-Keeler type function PDF BibTeX XML Cite \textit{C.-M. Chen} and \textit{T.-H. Chang}, Appl. Math. Lett. 23, No. 11, 1336--1341 (2010; Zbl 1196.54067) Full Text: DOI OpenURL References: [1] Huang, L.G.; Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. math. anal. appl., 322, 1468-1476, (2007) · Zbl 1118.54022 [2] Meir, A.; Keeler, E., A theorem on contraction mappings, J. math. anal. appl., 28, 326-329, (1969) · Zbl 0194.44904 [3] Yen, C.L., On common fixed points (II), Tamkang J. math., 4, (1973) · Zbl 0282.47020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.