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Next, the existence and uniqueness of solutions to the problem (SGMQVI) are established in real Banach\nspaces. From fixed point perspective, we propose some new iterative algorithms for solving\nthe system of generalized mixed quasivariational inclusion problem (SGMQVI). Moreover,\nstrong convergence theorems of these iterative sequences generated by the corresponding\nalgorithms are proved under suitable conditions. As an application, the strong convergence\ntheorem for a class of bilevel variational inequalities is derived in Hilbert space. The main\nresults in this paper develop, improve, and unify some well\u2010known results in the literature.<\/jats:p>","DOI":"10.1155\/2011\/961038","type":"journal-article","created":{"date-parts":[[2011,9,11]],"date-time":"2011-09-11T19:03:58Z","timestamp":1315767838000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications"],"prefix":"10.1155","volume":"2011","author":[{"given":"Zhongping","family":"Wan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jia-Wei","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hai","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liuyang","family":"Yuan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,9,11]]},"reference":[{"key":"e_1_2_7_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 de Paris"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026495115191"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02591749"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.07.018"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1155\/S1048953304403013"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893\u20109659(04)90073\u20100"},{"key":"e_1_2_7_7_2","first-page":"375","article-title":"Existence of solutions of F-implicit variational inequality problems with extended projection operators","volume":"53","author":"Chen J. 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