Dual convergences of iteration processes for nonexpansive mappings in Banach spaces
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 2, page 397-404
- ISSN: 0011-4642
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topJung, Jong Soo, and Sahu, Daya Ram. "Dual convergences of iteration processes for nonexpansive mappings in Banach spaces." Czechoslovak Mathematical Journal 53.2 (2003): 397-404. <http://eudml.org/doc/30785>.
@article{Jung2003,
abstract = {In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.},
author = {Jung, Jong Soo, Sahu, Daya Ram},
journal = {Czechoslovak Mathematical Journal},
keywords = {Banach limit; dual convergence theorem; duality mapping; Ishikawa iteration process; nonexpansive mapping; Banach limit; dual convergence theorem; duality mapping; Ishikawa iteration process; nonexpansive mapping},
language = {eng},
number = {2},
pages = {397-404},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dual convergences of iteration processes for nonexpansive mappings in Banach spaces},
url = {http://eudml.org/doc/30785},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Jung, Jong Soo
AU - Sahu, Daya Ram
TI - Dual convergences of iteration processes for nonexpansive mappings in Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 397
EP - 404
AB - In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.
LA - eng
KW - Banach limit; dual convergence theorem; duality mapping; Ishikawa iteration process; nonexpansive mapping; Banach limit; dual convergence theorem; duality mapping; Ishikawa iteration process; nonexpansive mapping
UR - http://eudml.org/doc/30785
ER -
References
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