| Title:
|
Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces (English) |
| Author:
|
Górnicki, Jarosław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
249-252 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0686.47045 |
| idMR:
|
MR1014125 |
| . |
| Date available:
|
2008-06-05T21:38:24Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106742 |
| . |
| Reference:
|
[1] Bose S. C.: Weak convergence to the fixed point of an asymptotically nonexpansive map.Proc. Amer. Math. Soc. 68 (1978), 305-308. Zbl 0377.47037, MR 0493543 |
| Reference:
|
[2] Bose S. C., Laskar S. K.: Fixed point theorems for certain class of mappings.Journ. Math. Phys. Sci. 19 (1985), 503-509. Zbl 0613.47048, MR 0873691 |
| Reference:
|
[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. Zbl 0138.08202, MR 0190745 |
| Reference:
|
[4] Goebel K., Kirk W. A.: A fixed point theorem for asymptotically nonexpansive mappings.Proc. Amer. Math. Soc. 35 (1972), 171-174. Zbl 0256.47045, MR 0298500 |
| Reference:
|
[5] Goebel K., Reich S.: Uniform convexity, Hyperbolic geometry and Nonexpansive mappings.Marcel Dekker, INC, New York, Basel, 1984. Zbl 0537.46001, MR 0744194 |
| Reference:
|
[6] Hirano N.: Nonlinear ergodic theorems and weak convergence theorems.J. Math. Soc. Japan 34 (1982), 35-46. Zbl 0464.47041, MR 0639803 |
| Reference:
|
[7] Krüppel M.: Mean ergodic theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces.[unpublished manuscript]. |
| Reference:
|
[8] Opial Z.: Weak convergence of the sequence of successive approximations for nonexpansive mappings.Bull. Amer. Math. Soc. 73 (1967), 591-597. Zbl 0179.19902, MR 0211301 |
| . |
