Filomat 2016 Volume 30, Issue 13, Pages: 3575-3585
https://doi.org/10.2298/FIL1613575S
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Completeness of 3-generalized metric spaces
Suzuki Tomonari (Faculty of Engineering, Kyushu Institute of Technology, Department of Basic Sciences, Tobata, Kitakyushu, Japan)
We discuss the completeness of 3-generalized metric spaces. Indeed, we give a
sufficient and necessary condition on that a 3-generalized metric spaces is
complete.
Keywords: v-generalized metric space, completeness, Cauchy sequence, infinite Ramsey theorem, compactness