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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
[1] [1] Belluce, L. P. and Kirk, W. A., Nonexpansive mappings and fixed-points in Banach spaces. Illinois J. Math 11(1967), 474–479. Google Scholar
[2] [2] Browder, F. E., Nonexpansive nonlinear operators in a Banach space. Proc. Nat. Acad. Sci. U.S.A. 54(1965), 1041–1044. doi:10.1073/pnas.54.4.1041 Google Scholar
[3] [3] Browder, F. E., Convergence of approximants to fixed points of nonexpansive non-linear mappings in Banach spaces. Arch. Rational Mech. Anal. 24(1967), 82–90. Google Scholar
[4] [4] Bruck, R. E., A common fixed point theorem for a commuting family of nonexpansive mappings. Pacific J. Math. 53(1974), 59–71. Google Scholar
[5] [5] DeMarr, R., Common fixed points for commuting contraction mappings. Pacific J. Math. 13(1963), 1139–1141. Google Scholar
[6] [6] Goebel, K. and Kirk, W. A., Topics in Metric Fixed Point Theory. Cambridge Studies in Advanced Mathematics 28, Cambridge University Press Cambridge, 1990. Google Scholar
[7] [7] Kirk, W. A. and Sims, B., (eds.) Handbook of Metric Fixed Point Theory. Kluwer Academic Publishers, dordrecht, 2001. Google Scholar
[8] [8] Kuratowski, K., Topology. I. Academic Press, New York, 1966. Google Scholar
[9] [9] Lim, T. C., A fixed point theorem for families on nonexpansive mappings. Pacific J. Math. 53(1974), 487–493. Google Scholar
[10] [10] Suzuki, T., On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces. Proc. Amer. Math. Soc. 131(2003), no. 7, 2133–2136. doi:10.1090/S0002-9939-02-06844-2 Google Scholar
[11] [11] Suzuki, T., Common fixed points of one-parameter nonexpansive semigroups. Bull. London Math. Soc. 38(2006), no. 6, 1009–1018. doi:10.1112/S0024609306018893 Google Scholar
[12] [12] Suzuki, T., Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces. Israel J. Math. 157(2007), 239–257. doi:10.1007/s11856-006-0010-6 Google Scholar
[13] [13] Suzuki, T., Some comments about recent results on one-parameter nonexpansive semigroups. Bull. Kyushu Inst. Technol. Pure Appl. Math. 54(2007), 13–26. Google Scholar
[14] [14] Suzuki, T., Browder convergence and Mosco convergence for families of nonexpansive mappings. Cubo 10(2008), no. 4, 101–108. Google Scholar
[15] [15] Takahashi, W., Nonlinear Functional Analysis. Fixed Point Theory and its Applications. Yokohama Publishers, Yokohama, 2000. Google Scholar
[16] [16] Willard, S., General Topology. Dover, Mineola, NY, 2004. Google Scholar
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