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 stabili...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503203018 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |