Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1173.47051
Plubtieng, Somyot; Ungchittrakool, Kasamsuk
Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces. (English)
[J] Fixed Point Theory Appl. 2008, Article ID 583082, 19 p. (2008). ISSN 1687-1812/e

The convex feasibility problem (CFP) of finding a point in the nonempty intersection $\cap^N_{i=1}C_i$ is considered, where $N\ge 1$ is an integer and the $C_i$'s are assumed to be convex closed subsets of a Banach space $E$. By using hybrid iterative methods, the authors prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, they apply their results for solving convex feasibility problems in Banach spaces.
[Jürgen Appell (Würzburg)]

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
47N10 Appl. of operator theory in optimization, math. programming, etc.
90C25 Convex programming

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