Browder's Convergence for One-Parameter Nonexpansive Semigroups
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 15-25
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We give the sufficient and necessary conditions of Browder's convergence theorem for one-parameter nonexpansive semigroups which was proved by Suzuki. We also discuss the perfect kernels of topological spaces.
Mots-clés :
47H20, nonexpansive semigroup, common fixed point, Browder's convergence, perfect kernel
Akiyama, Shigeki; Suzuki, Tomonari. Browder's Convergence for One-Parameter Nonexpansive Semigroups. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 15-25. doi: 10.4153/CMB-2011-071-9
@article{10_4153_CMB_2011_071_9,
author = {Akiyama, Shigeki and Suzuki, Tomonari},
title = {Browder's {Convergence} for {One-Parameter} {Nonexpansive} {Semigroups}},
journal = {Canadian mathematical bulletin},
pages = {15--25},
year = {2012},
volume = {55},
number = {1},
doi = {10.4153/CMB-2011-071-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-071-9/}
}
TY - JOUR AU - Akiyama, Shigeki AU - Suzuki, Tomonari TI - Browder's Convergence for One-Parameter Nonexpansive Semigroups JO - Canadian mathematical bulletin PY - 2012 SP - 15 EP - 25 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-071-9/ DO - 10.4153/CMB-2011-071-9 ID - 10_4153_CMB_2011_071_9 ER -
%0 Journal Article %A Akiyama, Shigeki %A Suzuki, Tomonari %T Browder's Convergence for One-Parameter Nonexpansive Semigroups %J Canadian mathematical bulletin %D 2012 %P 15-25 %V 55 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-071-9/ %R 10.4153/CMB-2011-071-9 %F 10_4153_CMB_2011_071_9
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