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Property P in G-metric spaces. (English) Zbl 1203.54037
The authors establish two fixed point theorems for some contractive-type maps on complete G-metric spaces. It is also shown that if (X,G) is a complete G-metric space and T is a self-map of X satisfying the hypotheses of any of the two theorems then the maps F n have the same fixed point set, for all n.
MSC:
54H25Fixed-point and coincidence theorems in topological spaces
47H10Fixed point theorems for nonlinear operators on topological linear spaces
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