Iterative methods for solving fixed‐point problems with nonself‐mappings in Banach spaces

Yakov Alber, Simeon Reich and Jen-Chih Yao

Abstract and Applied Analysis, 2003, vol. 2003, issue 4, 193-216

Abstract: 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.

Date: 2003
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https://doi.org/10.1155/S1085337503203018

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:4:p:193-216

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