Geodesic
Fixed Point Theorems for Lipspchitzian Semigroups
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 90-97

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Let U be a nonempty subset of a Banach space, S a left reversible semitopological semigroup, a continuous representation of S as lipschitzian mappings on U into itself, that is for each s ∊ S, there exists ks > 0 such that for x, y ∊ U. We first show that if there exists a closed subset C of U such that then S with lim sups has a common fixed point in a Hilbert space. Next, we prove that the theorem is valid in a Banach space E if lim sups
DOI : 10.4153/CMB-1989-013-3
Mots-clés : 47H10, 54H25 
ishihara, Hajime. Fixed Point Theorems for Lipspchitzian Semigroups. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 90-97. doi: 10.4153/CMB-1989-013-3
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     author = {ishihara, Hajime},
     title = {Fixed {Point} {Theorems} for {Lipspchitzian} {Semigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {90--97},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-013-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-013-3/}
}
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