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$$\varphi$$-pairs and common fixed points in cone metric spaces. (English) Zbl 1164.54031
Summary: In this paper, we introduce a contractive condition, called $$\varphi$$-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 $$\varphi$$-pairs. We also obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.

MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 47H10 Fixed-point theorems
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References:
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