{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:39:21Z","timestamp":1753886361463,"version":"3.41.2"},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,22]],"date-time":"2012-05-22T00:00:00Z","timestamp":1337644800000},"content-version":"vor","delay-in-days":142,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100009950","name":"Ministry of Education, Thailand","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100009950","id-type":"DOI","asserted-by":"crossref"}]}],"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>We first introduce the iterative procedure to approximate a common element of the fixed\u2010point\nset of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a real\nHilbert space. Next, we prove the weak convergence for the given iterative scheme under certain assumptions. Finally,\nwe apply our results to approximate a common element of the set of common fixed points of asymptotic nonspreading\nmapping and asymptotic <jats:italic>TJ<\/jats:italic> mapping and the solution set of SMEP in a real Hilbert space.<\/jats:p>","DOI":"10.1155\/2012\/282094","type":"journal-article","created":{"date-parts":[[2012,5,29]],"date-time":"2012-05-29T07:10:58Z","timestamp":1338275458000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The System of Mixed Equilibrium Problems for Quasi\u2010Nonexpansive Mappings in Hilbert Spaces"],"prefix":"10.1155","volume":"2012","author":[{"given":"Rabian","family":"Wangkeeree","sequence":"first","affiliation":[]},{"given":"Panatda","family":"Boonman","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,22]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"crossref","first-page":"493","DOI":"10.2140\/pjm.1978.79.493","article-title":"The common fixed point theory of singlevalued mappings and multivalued mappings","volume":"79","author":"Itoh S.","year":"1978","journal-title":"Pacific Journal of Mathematics"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526152"},{"key":"e_1_2_6_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_6_4_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/4\/015"},{"key":"e_1_2_6_5_2","first-page":"31","article-title":"From alternating minimization algorithms and systems of variational inequalities to equilibrium problems","volume":"16","author":"Moudafi A.","year":"2009","journal-title":"Communications on Applied Nonlinear Analysis"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/246237"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1953-0054846-3"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.03.064"},{"key":"e_1_2_6_9_2","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1007\/s10957-011-9924-1","article-title":"Weak and strong convergence theorems of quasi-nonexpansive mappings in a Hilbert spaces","volume":"152","author":"Kim G. 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