{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T02:08:07Z","timestamp":1776305287956,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,6,22]],"date-time":"2009-06-22T00:00:00Z","timestamp":1245628800000},"content-version":"vor","delay-in-days":172,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002842","name":"Chiang Mai University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002842","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004396","name":"Thailand Research Fund","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004396","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Higher Education Commission, Thailand"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>Let <jats:italic>X<\/jats:italic> be a real uniformly convex Banach space and <jats:italic>C<\/jats:italic> a closed convex nonempty subset of <jats:italic>X<\/jats:italic>. Let  be a finite family of nonexpansive self\u2010mappings of <jats:italic>C<\/jats:italic>. For a given <jats:italic>x<\/jats:italic><jats:sub>1<\/jats:sub> \u2208 <jats:italic>C<\/jats:italic>, let {<jats:italic>x<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>} and , <jats:italic>i<\/jats:italic> = 1, 2, \u2026, <jats:italic>r<\/jats:italic>, be sequences defined\n\t\t\t\t, where  for all <jats:italic>j<\/jats:italic> \u2208 {1, 2, \u2026, <jats:italic>r<\/jats:italic>}, <jats:italic>n<\/jats:italic> \u2208 <jats:italic>\u2115<\/jats:italic> and <jats:italic>i<\/jats:italic> = 1, 2, \u2026, <jats:italic>j<\/jats:italic>. In this paper, weak and strong convergence theorems of the sequence {<jats:italic>x<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>} to a common fixed point of a finite family of nonexpansive mappings <jats:italic>T<\/jats:italic><jats:sub><jats:italic>i<\/jats:italic><\/jats:sub>\u2009\u2009(<jats:italic>i<\/jats:italic> = 1, 2, \u2026, <jats:italic>r<\/jats:italic>) are established under some certain control conditions.<\/jats:p>","DOI":"10.1155\/2009\/391839","type":"journal-article","created":{"date-parts":[[2009,6,22]],"date-time":"2009-06-22T13:27:29Z","timestamp":1245677249000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A New Iterative Method for Common Fixed Points of a Finite Family of Nonexpansive Mappings"],"prefix":"10.1155","volume":"2009","author":[{"given":"Suwicha","family":"Imnang","sequence":"first","affiliation":[]},{"given":"Suthep","family":"Suantai","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,6,22]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171200003252"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089500001063"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171293000092"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/2040440"},{"key":"e_1_2_5_5_2","first-page":"1263","article-title":"Fixed points of quasinonexpansive mappings","volume":"17","author":"Das G.","year":"1986","journal-title":"Indian Journal of Pure and Applied Mathematics"},{"key":"e_1_2_5_6_2","first-page":"45","article-title":"Convergence theorems for a pair of nonexpansive mappings","volume":"5","author":"Takahashi W.","year":"1998","journal-title":"Journal of Convex Analysis"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11761-0"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.05.002"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(91)90200-K"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(04)90058-2"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.03.002"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2009\/391839.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2009\/391839.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2009\/391839","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T15:00:24Z","timestamp":1719068424000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2009\/391839"}},"subtitle":[],"editor":[{"given":"Jie","family":"Xiao","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1155\/2009\/391839"],"URL":"https:\/\/doi.org\/10.1155\/2009\/391839","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]},"assertion":[{"value":"2008-12-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2009-04-09","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2009-06-22","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"391839"}}