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Common fixed point theorems in cone metric spaces. (English) Zbl 1173.54317

Summary: We obtain sufficient conditions for existence of points of coincidence and common fixed points of three self mappings satisfying a contractive type conditions in cone metric spaces. Our results generalize several well-known recent results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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