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We then prove strong\nconvergence of the scheme to a common element of the three sets. We give some applications of\nour results. Our results extend important recent results.<\/jats:p>","DOI":"10.1155\/2011\/734082","type":"journal-article","created":{"date-parts":[[2011,4,17]],"date-time":"2011-04-17T19:33:31Z","timestamp":1303068811000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems"],"prefix":"10.1155","volume":"2011","author":[{"given":"Yekini","family":"Shehu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,4,17]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022\u2010247X(77)90152\u20104"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022\u2010247X(67)90085\u20106"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2003.07.023"},{"key":"e_1_2_5_4_2","doi-asserted-by":"crossref","DOI":"10.1155\/2010\/157278","article-title":"On a hybrid method for generalized mixed equilibrium problem and fixed point problem of a family of quasi-\u03d5-asymptotically nonexpansive mappings in Banach spaces","volume":"2010","author":"Liu M.","year":"2010","journal-title":"Fixed Point Theory and Applications"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2010.03.008"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10483\u2010009\u20100904\u20106"},{"key":"e_1_2_5_7_2","first-page":"117","article-title":"Equilibrium programming in Hilbert spaces","volume":"6","author":"Combettes P. 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