Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces. (English) Zbl 1196.54067

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.


54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
Full Text: DOI


[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
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