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Some fixed point theorem for mapping on complete $$G$$-metric spaces. (English) Zbl 1148.54336
Summary: We prove some fixed point results for mappings satisfying sufficient conditions on complete $$G$$-metric spaces, also we show that if the $$G$$-metric space $$(X,G)$$ is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in $$(X,d_{G})$$, where $$(X,d_{G})$$ is the usual metric space which is defined from the $$G$$-metric space $$(X,G)$$.
Reviewer: Reviewer (Berlin)

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems
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##### References:
 [1] doi:10.1002/mana.19630260109 · Zbl 0117.16003 · doi:10.1002/mana.19630260109 [12] doi:10.2307/2040075 · Zbl 0291.54056 · doi:10.2307/2040075
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