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Almost convergence and nonlinear ergodic theorems. (English) Zbl 0404.47032


MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H20 Semigroups of nonlinear operators
47A35 Ergodic theory of linear operators
40C05 Matrix methods for summability
41A50 Best approximation, Chebyshev systems
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References:

[1] Baillon, J.-B, Un théorème de type ergodique pour les contractions nonlinéaires dans un espace de Hilbert, C. R. Acad. Sci. Paris, 280, 1511-1514 (1975) · Zbl 0307.47006
[2] Baillon, J.-B, Quelques propriétés de convergence asymptotique pour les semi-groupes de contractions impaires, C. R. Acad. Sci. Paris, 283, 75-78 (1976) · Zbl 0339.47028
[3] Baillon, J. B., Quelques propriétés de convergence asymptotique pour les contractions impaires, C. R. Acad. Sci. Paris, 283, 587-590 (1976) · Zbl 0343.47046
[4] Baillon, J.-B; Brézis, H., Une remarque sur le comportement asymptotique des semigroupes non linéaires, Houston J. Math., 2, 5-7 (1976) · Zbl 0318.47039
[5] B. Beauzamy and P. Enflo; B. Beauzamy and P. Enflo · Zbl 0608.47061
[6] Brézis, H.; Browder, F. E., Nonlinear ergodic theorems, Bull. Amer. Math. Soc., 82, 959-961 (1976) · Zbl 0339.47029
[7] R. E. Bruck, Jr.; R. E. Bruck, Jr.
[8] Edelstein, M., The construction of an asymptotic center with a fixed point property, Bull. Amer. Math. Soc., 78, 206-208 (1972) · Zbl 0231.47029
[9] Lorentz, G. G., A contribution to the theory of divergent sequences, Acta Math., 80, 167-190 (1948) · Zbl 0031.29501
[10] Reich, S., Nonlinear evolution equations and nonlinear ergodic theorems, J. Nonlinear Analysis, 1, 319-330 (1977) · Zbl 0359.34059
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.