Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Górnicki, Jarosław
Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989), p. 249-252 / Harvested from Czech Digital Mathematics Library
Publié le : 1989-01-01
Classification:  47H09,  47H10
@article{106742,
     author = {Jaros\l aw G\'ornicki},
     title = {Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {030},
     year = {1989},
     pages = {249-252},
     zbl = {0686.47045},
     mrnumber = {1014125},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106742}
}
Górnicki, Jarosław. Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989) pp. 249-252. http://gdmltest.u-ga.fr/item/106742/

Bose S. C. Weak convergence to the fixed point of an asymptotically nonexpansive map, Proc. Amer. Math. Soc. 68 (1978), 305-308. (1978) | MR 0493543 | Zbl 0377.47037

Bose S. C.; Laskar S. K. Fixed point theorems for certain class of mappings, Journ. Math. Phys. Sci. 19 (1985), 503-509. (1985) | MR 0873691 | Zbl 0613.47048

Browder F. E.; Petryshyn W. V. The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 671-575. (1966) | MR 0190745 | Zbl 0138.08202

Goebel K.; Kirk W. A. A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174. (1972) | MR 0298500 | Zbl 0256.47045

Goebel K.; Reich S. Uniform convexity, Hyperbolic geometry and Nonexpansive mappings, Marcel Dekker, INC, New York, Basel, 1984. (1984) | MR 0744194 | Zbl 0537.46001

Hirano N. Nonlinear ergodic theorems and weak convergence theorems, J. Math. Soc. Japan 34 (1982), 35-46. (1982) | MR 0639803 | Zbl 0464.47041

Krüppel M. Mean ergodic theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces, [unpublished manuscript].

Opial Z. Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597. (1967) | MR 0211301 | Zbl 0179.19902