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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
##### Keywords:
$$G$$-metric space; fixed point; property $$P$$
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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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