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Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone operators, so\u2010called (<jats:italic>A<\/jats:italic>, <jats:italic>m<\/jats:italic>, <jats:italic>\u03b7<\/jats:italic>)\u2010monotone operator. Further,\nthe stability of the iterative algorithm for finding a solution of the considered problem is also discussed.<\/jats:p>","DOI":"10.1155\/2012\/590676","type":"journal-article","created":{"date-parts":[[2012,5,29]],"date-time":"2012-05-29T07:13:59Z","timestamp":1338275639000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Existence and Stability of Iterative Algorithm for a System of Random Set\u2010Valued Variational Inclusion Problems Involving (<i>A<\/i>, <i>m<\/i>, <i>\u03b7<\/i>)\u2010Generalized Monotone Operators"],"prefix":"10.1155","volume":"2012","author":[{"given":"Jittiporn","family":"Suwannawit","sequence":"first","affiliation":[]},{"given":"Narin","family":"Petrot","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,28]]},"reference":[{"key":"e_1_2_7_1_2","article-title":"Iterative algorithm for a new system of nonlinear set-valued variational inclusions involving (H, \u03b7)-monotone mappings","volume":"7","author":"Jin M.-M.","year":"2006","journal-title":"Journal of Inequalities in Pure and Applied Mathematics"},{"key":"e_1_2_7_2_2","first-page":"1","article-title":"A class of nonlinear (A, \u03b7)-monotone operator inclusion problems with relaxed cocoercive mappings","volume":"9","author":"Lan H.-Y.","year":"2006","journal-title":"Advances in Nonlinear Variational Inequalities"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/S1048953304403013"},{"key":"e_1_2_7_4_2","first-page":"55","article-title":"Approximation-solvability of a class of A-monotone variational inclusion problems","volume":"8","author":"Verma R. 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