{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:23Z","timestamp":1753886423096,"version":"3.41.2"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,5,24]],"date-time":"2006-05-24T00:00:00Z","timestamp":1148428800000},"content-version":"vor","delay-in-days":143,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002629","name":"Changwon National University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002629","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2006,1]]},"abstract":"<jats:p>We investigate the equivalence between the convergences of the Mann iteration method and the Ishikawa iteration method with errors for demicontinuous <jats:italic>\u03c6<\/jats:italic>\u2010strongly accretive operators in uniformly smooth Banach spaces. A related result deals with the equivalence of the Mann iteration method and the Ishikawa iteration method for <jats:italic>\u03c6<\/jats:italic>\u2010pseudocontractive operators in nonempty closed convex subsets of uniformly smooth Banach spaces. The results presented in this paper extend and improve the corresponding results in the literature.<\/jats:p>","DOI":"10.1155\/ijmms\/2006\/69542","type":"journal-article","created":{"date-parts":[[2006,6,20]],"date-time":"2006-06-20T09:35:51Z","timestamp":1150796151000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous <i>\u03c6<\/i>\u2010strongly accretive operators in uniformly smooth Banach spaces"],"prefix":"10.1155","volume":"2006","author":[{"given":"Zeqing","family":"Liu","sequence":"first","affiliation":[]},{"given":"Li","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jeong Sheok","family":"Ume","sequence":"additional","affiliation":[]},{"given":"Shin Min","family":"Kang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,5,24]]},"reference":[{"key":"e_1_2_1_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0362\u2010546X(97)00388\u2010X"},{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0895\u20107177(03)00113\u20104"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.5993"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1165050-6"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1995.1185"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002\u20109939\u201098\u201004322\u20106"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/01630569408816593"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1034968427"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.6973"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0895\u20107177(01)00064\u20104"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898\u20101221(03)00022\u20101"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.4134\/JKMS.2003.40.1.029"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/PL00000524"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1996.0203"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362\u2010546X(78)90044\u20105"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171203110198"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022\u2010247X(03)00338\u2010X"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171203211418"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2003.09.057"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5539"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2006\/069542.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/IJMMS\/2006\/69542","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T21:13:56Z","timestamp":1717708436000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/IJMMS\/2006\/69542"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1155\/IJMMS\/2006\/69542"],"URL":"https:\/\/doi.org\/10.1155\/ijmms\/2006\/69542","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2006,1]]},"assertion":[{"value":"2006-05-24","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"069542"}}