Geodesic
Uniformly Lipschitzian Semigroups in Hilbert Space
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 210-214

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DOI

Let K be a closed, bounded, convex, nonempty subset of a Hilbert Space . It is shown that if is a left reversible, uniformly k-lipschitzian semigroup of mappings of K into itself, with k < √2, then has a common fixed point in K.
DOI : 10.4153/CMB-1982-029-5
Mots-clés : 47H10, common fixed points, uniformly k-lipschitzian semigroups 
Downing, David J.; Ray, William O. Uniformly Lipschitzian Semigroups in Hilbert Space. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 210-214. doi: 10.4153/CMB-1982-029-5
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     title = {Uniformly {Lipschitzian} {Semigroups} in {Hilbert} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {210--214},
     year = {1982},
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     doi = {10.4153/CMB-1982-029-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-029-5/}
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