{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:39:52Z","timestamp":1753886392584,"version":"3.41.2"},"reference-count":12,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,8,8]],"date-time":"2012-08-08T00:00:00Z","timestamp":1344384000000},"content-version":"vor","delay-in-days":220,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We introduce a new iterative scheme with Meir\u2010Keeler contractions for an asymptotically nonexpansive mapping in <jats:italic>q<\/jats:italic>\u2010uniformly smooth and strictly convex Banach spaces. We also proved the strong convergence theorems of implicit and explicit schemes. The results obtained in this paper extend and improve many recent ones announced by many others.<\/jats:p>","DOI":"10.1155\/2012\/474031","type":"journal-article","created":{"date-parts":[[2012,8,8]],"date-time":"2012-08-08T21:08:19Z","timestamp":1344460099000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in <i>q<\/i>\u2010Uniformly Smooth and Strictly Convex Banach Spaces"],"prefix":"10.1155","volume":"2012","author":[{"given":"Meng","family":"Wen","sequence":"first","affiliation":[]},{"given":"Changsong","family":"Hu","sequence":"additional","affiliation":[]},{"given":"Zhiyu","family":"Wu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,8,8]]},"reference":[{"key":"e_1_2_5_1_2","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0082079","volume-title":"Geometry of Banach Spaces: Selected Topics","author":"Diestel J.","year":"1975"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1972-0298500-3"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm-3-1-133-181"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(69)90031-6"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2010.10.007"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(91)90200-K"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.01.080"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.11.017"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1995.1289"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610702003332"},{"key":"e_1_2_5_11_2","first-page":"1131","article-title":"Convergence of implicit iterative process with errors for a finite family of asymptotically nonexpansive mappings","volume":"26","author":"Gu F.","year":"2006","journal-title":"Acta Mathematica Scientia A"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-99970-3"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/474031.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/474031.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/474031","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:17:41Z","timestamp":1718090261000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/474031"}},"subtitle":[],"editor":[{"given":"Hong-Kun","family":"Xu","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/474031"],"URL":"https:\/\/doi.org\/10.1155\/2012\/474031","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-04-24","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-06-23","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-08-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"474031"}}