Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
Alber, Yakov ; Reich, Simeon ; Yao, Jen-Chih
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 193-216 / Harvested from Project Euclid
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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.
Publié le : 2003-02-26
Classification:  47H06,  47H09,  47H10,  47H14,  49M25 
@article{1050426015,
     author = {Alber, Yakov and Reich, Simeon and Yao, Jen-Chih},
     title = {Iterative methods for solving fixed-point problems with
nonself-mappings in Banach spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 193-216},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050426015}
}

Alber, Yakov; Reich, Simeon; Yao, Jen-Chih. Iterative methods for solving fixed-point problems with
nonself-mappings in Banach spaces. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  193-216. http://gdmltest.u-ga.fr/item/1050426015/