Convergence theorems of a new three-step iteration for nonself asymptotically nonexpansive mappings
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Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let Ti : K → E (i = 1,2,3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of Ti (i=1,2,3) under certain conditions. It presents some new results in this paper. © 2015 by the Mathematical Association of Thailand. All rights reserved.
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https://rdlopen.rawdatalibrary.net/r/ebyu/15341Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Gunduz, Birol | |
| dc.contributor.author | Akbulut, Sezgin | |
| dc.date.accessioned | 2026-10-18T20:30:09.439961329Z | |
| dc.date.available | 2026-10-18T20:30:09.439961329Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let Ti : K → E (i = 1,2,3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of Ti (i=1,2,3) under certain conditions. It presents some new results in this paper. © 2015 by the Mathematical Association of Thailand. All rights reserved. | |
| dc.identifier.endpage | 482 | |
| dc.identifier.issn | 1686-0209 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-84940826548 | |
| dc.identifier.startpage | 467 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/ebyu/15341 | |
| dc.identifier.volume | 13 | |
| dc.language.iso | en | |
| dc.publisher | Chiang Mai University | |
| dc.relation.ispartof | Thai Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Common fixed point | |
| dc.subject | Nonself asymptotically nonexpansive mapping | |
| dc.subject | Strong and weak con- vergence | |
| dc.title | Convergence theorems of a new three-step iteration for nonself asymptotically nonexpansive mappings | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.scopus | 2 | |
| rdl.source.index | SCOPUS |