Geodesic
A Note on Lipschitzian Mappings in Convex Metric Spaces
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 463-466

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DOI

Local criteria are given which imply the lipschitzian character of mappings defined in complete and convex metric spaces. 
Kirk, W. A.; Ray, WIlliam O. A Note on Lipschitzian Mappings in Convex Metric Spaces. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 463-466. doi: 10.4153/CMB-1977-068-6
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     author = {Kirk, W. A. and Ray, WIlliam O.},
     title = {A {Note} on {Lipschitzian} {Mappings} in {Convex} {Metric} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {463--466},
     year = {1977},
     volume = {20},
     number = {4},
     doi = {10.4153/CMB-1977-068-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-068-6/}
}
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