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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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