Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Commentationes Mathematicae Universitatis Carolinae (1989)
- Volume: 030, Issue: 2, page 249-252
- ISSN: 0010-2628
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topGórnicki, Jarosław. "Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 249-252. <http://eudml.org/doc/17735>.
@article{Górnicki1989,
author = {Górnicki, Jarosław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {asymptotic centre; uniformly convex Banach space; Opial's condition; asymptotically nonexpansive mapping; fixed point; weakly asymptotically regular},
language = {eng},
number = {2},
pages = {249-252},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces},
url = {http://eudml.org/doc/17735},
volume = {030},
year = {1989},
}
TY - JOUR
AU - Górnicki, Jarosław
TI - Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 249
EP - 252
LA - eng
KW - asymptotic centre; uniformly convex Banach space; Opial's condition; asymptotically nonexpansive mapping; fixed point; weakly asymptotically regular
UR - http://eudml.org/doc/17735
ER -
References
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- Goebel K., Kirk W. A., A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174. (1972) Zbl0256.47045MR0298500
- Goebel K., Reich S., Uniform convexity, Hyperbolic geometry and Nonexpansive mappings, Marcel Dekker, INC, New York, Basel, 1984. (1984) Zbl0537.46001MR0744194
- Hirano N., Nonlinear ergodic theorems and weak convergence theorems, J. Math. Soc. Japan 34 (1982), 35-46. (1982) Zbl0464.47041MR0639803
- Krüppel M., Mean ergodic theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces, [unpublished manuscript].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) Zbl0179.19902MR0211301
Citations in EuDML Documents
top- Zeqing Liu, Ravi P. Agarwal, Chi Feng, Shin Min Kang, Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
- Ronald Bruck, Tadeusz Kuczumow, Simeon Reich, Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- Kittipong Sitthikul, Satit Saejung, Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings
- Daya Ram Sahu, Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces
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