Approximating fixed points of total asymptotically nonexpansive mappings

Approximating fixed points of total asymptotically nonexpansive mappings

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also conside...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2006-01, Vol.2006 (1), Article 10673
Hauptverfasser: Alber, YaI, Chidume, CE, Zegeye, H
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/FPTA/2006/10673