{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:54Z","timestamp":1753881234982,"version":"3.41.2"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T00:00:00Z","timestamp":1336435200000},"content-version":"vor","delay-in-days":128,"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>In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically <jats:italic>\u03d5<\/jats:italic>\u2010strongly pseudocontractive mappings in a uniformly smooth Banach space.<\/jats:p>","DOI":"10.1155\/2012\/912050","type":"journal-article","created":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T21:09:23Z","timestamp":1336511363000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically <i>\u03d5<\/i>\u2010Strongly Pseudocontractive Mappings"],"prefix":"10.1155","volume":"2012","author":[{"given":"Luigi","family":"Muglia","sequence":"first","affiliation":[]},{"given":"Yonghong","family":"Yao","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,8]]},"reference":[{"key":"e_1_2_4_1_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1972-0298500-3"},{"key":"e_1_2_4_2_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.54.4.1041"},{"key":"e_1_2_4_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90245-U"},{"key":"e_1_2_4_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.08.076"},{"key":"e_1_2_4_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.04.017"},{"key":"e_1_2_4_6_2","first-page":"283","article-title":"Strong and weak convergence theorems for asymptotically strict pseudocontractive mappings in intermediate sense","volume":"11","author":"Ceng L.-C.","year":"2010","journal-title":"Journal of Nonlinear and Convex Analysis. An International Journal"},{"key":"e_1_2_4_7_2","doi-asserted-by":"publisher","DOI":"10.11650\/twjm\/1500406223"},{"key":"e_1_2_4_8_2","article-title":"A hybrid method for Lipschitz continuous monotone mappings and asymptotically strict pseudocontractive mappings in the intermediate sense","volume":"11","author":"Ceng L. C.","year":"2010","journal-title":"Journal of Nonlinear and Convex Analysis"},{"key":"e_1_2_4_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84882-190-3"},{"key":"e_1_2_4_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.07.007"},{"key":"e_1_2_4_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00537-7"},{"key":"e_1_2_4_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01171148"},{"key":"e_1_2_4_13_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1996.0203"},{"key":"e_1_2_4_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-00547-7"},{"key":"e_1_2_4_15_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1995.1289"},{"key":"e_1_2_4_16_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-00-05988-8"},{"key":"e_1_2_4_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.05.075"},{"key":"e_1_2_4_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.07.005"},{"key":"e_1_2_4_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.07.028"},{"key":"e_1_2_4_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.02.010"},{"key":"e_1_2_4_21_2","doi-asserted-by":"publisher","DOI":"10.1017\/S001309159800114X"},{"key":"e_1_2_4_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00572-3"},{"key":"e_1_2_4_23_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.5987"},{"key":"e_1_2_4_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.12.066"},{"key":"e_1_2_4_25_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-05-07954-2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/912050.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/912050.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/912050","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:38:12Z","timestamp":1718087892000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/912050"}},"subtitle":[],"editor":[{"given":"Giuseppe","family":"Marino","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/912050"],"URL":"https:\/\/doi.org\/10.1155\/2012\/912050","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":"2012-01-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-02-15","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"912050"}}