{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:35:56Z","timestamp":1753886156110,"version":"3.41.2"},"reference-count":27,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,12,8]],"date-time":"2011-12-08T00:00:00Z","timestamp":1323302400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"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 use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of  variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of variational inequalities and its variant forms.<\/jats:p>","DOI":"10.1155\/2012\/125373","type":"journal-article","created":{"date-parts":[[2011,12,8]],"date-time":"2011-12-08T21:13:55Z","timestamp":1323378835000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities"],"prefix":"10.1155","volume":"2012","author":[{"given":"Muhammad Aslam","family":"Noor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khalida Inayat","family":"Noor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eisa","family":"Al-Said","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,12,8]]},"reference":[{"key":"e_1_2_6_1_2","first-page":"4413","article-title":"Formes bilin\u00e9aires coercitives sur les ensembles convexes","volume":"258","author":"Stampacchia G.","year":"1964","journal-title":"Comptes Rendus de l\u2032Acad\u00e9mie des Sciences"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-004-5719-y"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-003-2685-0"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2008.03.012"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.09.009"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/02331930500100254"},{"key":"e_1_2_6_7_2","first-page":"165","article-title":"Some new classes of nonconvex functions","volume":"11","author":"Noor M. 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