Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1011.47039
Xu, Benlong; Aslam Noor, Muhammad
Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces. (English)
[J] J. Math. Anal. Appl. 267, No.2, 444-453 (2002). ISSN 0022-247X

The authors suggest a new class of three step iterative schemes for solving nonlinear equations $Tx=x$ with asymptotically nonexpansive mappings in Banach spaces. The Ishikawa-type and Mann-type iteration schemes are included as particular cases. The convergence of the new schemes is proved.
[Milan Kučera (Praha)]

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47J25 Methods for solving nonlinear operator equations (general)

Keywords: three step iterations; asymptotically nonexpansive mappings; uniformly convex Banach spaces; Mann-type and Ishikawa-type iterations

Cited in: Zbl 1202.47076 Zbl 1217.47122 Zbl 1201.47063 Zbl 1198.54083 Zbl 1177.47079 Zbl 1172.47048 Zbl 1226.47067 Zbl 1190.47075 Zbl 1176.47059 Zbl 1138.47052 Zbl 1136.65060 Zbl 1125.47051 Zbl 1117.47055 Zbl 1113.47056 Zbl 1104.65053 Zbl 1097.47057 Zbl 1095.47042 Zbl 1087.47054 Zbl 1086.47057 Zbl 1086.47059 Zbl 1081.47063 Zbl 1076.47059 Zbl 1066.47069 Zbl 1046.47052 Zbl 1033.47046

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]