Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1130.47045
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru; Toyoda, Masashi
Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space. (English)
[J] Nonlinear Anal., Theory Methods Appl. 67, No. 8, A, 2350-2360 (2007). ISSN 0362-546X

The authors use a Halpern-type iteration to approximate a common fixed point of a countable family of nonexpansive mappings with some additional conditions in a uniformly convex Banach space whose norm is uniformly Gâteaux differentiable. They also apply the result to the problem of finding a zero of an accretive operator.
[Satit Saejung (Khon Kaen)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H09 Mappings defined by "shrinking" properties
41A65 Abstract approximation theory
47H06 Accretive operators, etc. (nonlinear)

Keywords: fixed point; nonexpansive mapping; Halpern iteration; accretive operator

Cited in: Zbl 1225.47091 Zbl 1234.47054 Zbl 1226.47074 Zbl 1215.47090 Zbl 1203.47070

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]