Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2003, Number 4 (2003), 193-216.
Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
We study descent-like approximation methods and proximal methods of the retraction type for solving fixed-point problems with nonself-mappings in Hilbert and Banach spaces. We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively. We also establish the stability of these methods with respect to perturbations of the operators and the constraint sets.
Abstr. Appl. Anal., Volume 2003, Number 4 (2003), 193-216.
First available in Project Euclid: 15 April 2003
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47H06: Accretive operators, dissipative operators, etc. 47H09
Secondary: 47H10 47H14 49M25
Alber, Yakov; Reich, Simeon; Yao, Jen-Chih. Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces. Abstr. Appl. Anal. 2003 (2003), no. 4, 193--216. doi:10.1155/S1085337503203018. https://projecteuclid.org/euclid.aaa/1050426015