Voir la notice de l'article provenant de la source Cambridge University Press
Takahashi, Wataru. Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity. Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 880-887. doi: 10.4153/CJM-1992-053-3
@article{10_4153_CJM_1992_053_3,
author = {Takahashi, Wataru},
title = {Fixed {Point} {Theorem} and {Nonlinear} {Ergodic} {Theorem} for {Nonexpansive} {Semigroups} {Without} {Convexity}},
journal = {Canadian journal of mathematics},
pages = {880--887},
year = {1992},
volume = {44},
number = {4},
doi = {10.4153/CJM-1992-053-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1992-053-3/}
}
TY - JOUR AU - Takahashi, Wataru TI - Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity JO - Canadian journal of mathematics PY - 1992 SP - 880 EP - 887 VL - 44 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1992-053-3/ DO - 10.4153/CJM-1992-053-3 ID - 10_4153_CJM_1992_053_3 ER -
%0 Journal Article %A Takahashi, Wataru %T Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity %J Canadian journal of mathematics %D 1992 %P 880-887 %V 44 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1992-053-3/ %R 10.4153/CJM-1992-053-3 %F 10_4153_CJM_1992_053_3
[1] 1. Baillon, J.B., Un théorème de type ergodic pour les contractions non linéares dans un espace de Hilbert, C.R. Acad. Sci. Paris Sér. A-B, 280 (1975), 1511–1514. Google Scholar
[2] 2. Baillon, J.B.,Quelques propriétés de convergence asymptotique pour les semigroups de contractions impaires, C.R. Acad. Sci. Paris Sér. A-B, 283 (1976), 75–78. Google Scholar
[3] 3. Brézis, H. and Browder, F.E., Nonlinear ergodic theorems, Bull Amer. Math. Soc, 82 (1976), 959–961. Google Scholar
[4] 4. Brézis, H., Remarks on nonlinear ergodic theory, Adv. in Math., 25 (1977), 165–177. Google Scholar
[5] 5. Hirano, N. and Takahashi, W., Nonlinear ergodic theorems for nonexpansive mappings in Hilbert space, KodaiMath. J., 2 (1979), 11–25. Google Scholar
[6] 6. Ishihara, H. and Takahashi, W., Fixed point theorems for uniformly lipschitzian semigroups in Hilbert spaces, J. Math. Anal. Appl., 127 (1987), 206–210. Google Scholar
[7] 7. Ishihara, H., Fixed point theorems for lipschitzian semigroups, Canad. Math. Bull., 32 (1989), 90–97. Google Scholar
[8] 8. Lau, A.T., Semigroup of nonexpansive mappings on a Hilbert space, J. Math. Anal. Appl., 105 (1985), 514–522. Google Scholar
[9] 9. Mitchell, T., Topological semigroups and fixed points, Illinois J. Math., 14 (1970), 630–641. Google Scholar
[10] 10. Mizoguchi, N. and Takahashi, W., On the existence of fixed points and ergodic retractions for Lipschitzian semigroups in Hilbert spaces, Nonlinear Analysis, 14 (1990), 69–80. Google Scholar
[11] 11. Pazy, A., On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space, Israel J. Math., 26 (1977), 197–204. Google Scholar
[12] 12. Pazy, A. , On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert space, J. Funct. Anal., 27 (1978), 292–307. Google Scholar
[13] 13. Phelps, R.P., Convex sets and nearest points, Proc. Amer. Math. Soc, 8 (1957), 790–797. Google Scholar
[14] 14. Rodé, G., An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space, J. Math. Anal. Appl., 85 (1982), 172–178. Google Scholar
[15] 15. Takahashi, W., A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space, Proc. Amer. Math. Soc, 81 (1981), 253–256. Google Scholar
[16] 16. Rodé, G., Fixed point theorems for families of nonexpansive mappings on unbounded sets, J. Math. Soc. Japan, 36 (1984), 543–553. Google Scholar
[17] 17. Rodé, G., A nonlinear ergodic theorem for a reversible semigroup of nonexpansive mappings in a Hilbert space, Proc. Amer. Math. Soc, 96 (1986), 55–58. Google Scholar
Cité par Sources :