Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1032.47034
Combettes, Patrick L.; Pennanen, Teemu
Generalized Mann iterates for constructing fixed points in Hilbert spaces. (English)
[J] J. Math. Anal. Appl. 275, No.2, 521-536 (2002). ISSN 0022-247X

Authors' abstract: ``The mean iteration scheme originally proposed by Mann is extended to a broad class of relaxed, inexact fixed point algorithms in Hilbert spaces. Weak and strong convergence results are established under general conditions on the underlying averaging process and the type of operators involved. This analysis significantly widens the range of applications of mean iteration methods. Several examples are given''.
[Janusz Matkowski (Zielona Gora)]

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)

Keywords: Hilbert space; nonexpansive operators; Mann iterates; weak convergence; strong convergence; Opial's theorem; concentrating averaging matrices; Fejér monotone method; extrapolated algorithm

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]