{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:51:32Z","timestamp":1753883492916,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,7,13]],"date-time":"2011-07-13T00:00:00Z","timestamp":1310515200000},"content-version":"vor","delay-in-days":193,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>The purpose of this paper is, by using a new hybrid method, to prove a strong\nconvergence theorem for finding a common element of the set of solutions for a generalized\nmixed equilibrium problem, the set of solutions for a variational inequality problem, and\nthe set of common fixed points for a pair of quasi\u2010<jats:italic>\u03d5<\/jats:italic>\u2010asymptotically nonexpansive mappings. \nUnder suitable conditions some strong convergence theorems are established in a uniformly\nsmooth and strictly convex Banach space with Kadec\u2010Klee property. The results presented\nin the paper improve and extend some recent results.<\/jats:p>","DOI":"10.1155\/2011\/956852","type":"journal-article","created":{"date-parts":[[2011,7,13]],"date-time":"2011-07-13T21:40:31Z","timestamp":1310593231000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A New Hybrid Algorithm for a Pair of Quasi\u2010<i>\u03d5<\/i>\u2010Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces"],"prefix":"10.1155","volume":"2011","author":[{"given":"Jinhua","family":"Zhu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shih-Sen","family":"Chang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,7,13]]},"reference":[{"key":"e_1_2_4_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2007.02.022"},{"key":"e_1_2_4_2_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.56.4.1080"},{"key":"e_1_2_4_3_2","first-page":"123","article-title":"From optimization and variational inequalities to equilibrium problems","volume":"63","author":"Blum E.","year":"1994","journal-title":"The Mathematics Student"},{"key":"e_1_2_4_4_2","first-page":"117","article-title":"Equilibrium programming in Hilbert spaces","volume":"6","author":"Combettes P. L.","year":"2005","journal-title":"Journal of Nonlinear and Convex Analysis"},{"key":"e_1_2_4_5_2","article-title":"Second-order differential proximal methods for equilibrium problems","volume":"4","author":"Moudafi A.","year":"2003","journal-title":"Journal of Inequalities in Pure and Applied Mathematics"},{"key":"e_1_2_4_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.02.042"},{"key":"e_1_2_4_7_2","doi-asserted-by":"publisher","DOI":"10.1155\/2008\/528476"},{"key":"e_1_2_4_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.11.031"},{"key":"e_1_2_4_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2010.06.006"},{"key":"e_1_2_4_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-2121-4"},{"key":"e_1_2_4_11_2","series-title":"Lecture Notes in Pure and Appl. Math.","first-page":"15","volume-title":"Theory and Applications of Nonlinear Operators of Accretive and Monotone Type","author":"Alber Y. I.","year":"1996"},{"key":"e_1_2_4_12_2","doi-asserted-by":"publisher","DOI":"10.1137\/S105262340139611X"},{"key":"e_1_2_4_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2005.02.007"},{"key":"e_1_2_4_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12190\u2010009\u20100263\u20104"},{"key":"e_1_2_4_15_2","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/869684"},{"key":"e_1_2_4_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10483\u2010009\u20100904\u20106"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2011\/956852.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2011\/956852.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/956852","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T13:44:24Z","timestamp":1718027064000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/956852"}},"subtitle":[],"editor":[{"given":"Vittorio","family":"Colao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/956852"],"URL":"https:\/\/doi.org\/10.1155\/2011\/956852","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2011-02-22","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-05-20","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-07-13","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"956852"}}