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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 \(n\in \mathbb{N}\).

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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References:
[7] doi:10.1155/2008/189870 · Zbl 1148.54336 · doi:10.1155/2008/189870
[8] doi:10.1155/2009/917175 · Zbl 1179.54067 · doi:10.1155/2009/917175
[9] doi:10.1016/j.amc.2009.04.085 · Zbl 1185.54037 · doi:10.1016/j.amc.2009.04.085
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