Geodesic
Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 249-252

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Classification : 47H09, 47H10 
Górnicki, Jarosław. Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 249-252. http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a5/
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     title = {Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex {Banach} spaces},
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     year = {1989},
     volume = {30},
     number = {2},
     mrnumber = {1014125},
     zbl = {0686.47045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a5/}
}
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[1] Bose S. C.: Weak convergence to the fixed point of an asymptotically nonexpansive map. Proc. Amer. Math. Soc. 68 (1978), 305-308. | MR | Zbl

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

[3] 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. | MR | Zbl

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

[5] Goebel K., Reich S.: Uniform convexity, Hyperbolic geometry and Nonexpansive mappings. Marcel Dekker, INC, New York, Basel, 1984. | MR | Zbl

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

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 [unpublished manuscript].

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