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Existence of fixed point results in $G$-metric spaces. (English) Zbl 1179.54066
Summary: The purpose of this paper is to prove the existence of fixed points of contractive mappings defined on $G$-metric space where the completeness is replaced with weaker conditions. Moreover, we show that these conditions do not guarantee the completeness of $G$-metric spaces.

MSC:
 54H25 Fixed-point and coincidence theorems in topological spaces
Full Text:
References:
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