Existence results for system of variational inequality problems with semimonotone operators.
Plubtieng, Somyot, Sombut, Kamonrat (2010)
Journal of Inequalities and Applications [electronic only]
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Plubtieng, Somyot, Sombut, Kamonrat (2010)
Journal of Inequalities and Applications [electronic only]
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Tan, Kok-Keong, Tarafdar, Enayet, Yuan, George Xian-Zhi (1999)
Journal of Inequalities and Applications [electronic only]
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Carbone, Antonio (1998)
International Journal of Mathematics and Mathematical Sciences
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Li, Xi, Kim, Jong Kyu, Huang, Nan-Jing (2010)
Journal of Inequalities and Applications [electronic only]
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Ching-Yan Lin, Liang-Ju Chu (2003)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem...
Alexander Kaplan, Rainer Tichatschke (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Interior proximal methods for variational inequalities are, in fact, designed to handle problems on polyhedral convex sets or balls, only. Using a slightly modified concept of Bregman functions, we suggest an interior proximal method for solving variational inequalities (with maximal monotone operators) on convex, in general non-polyhedral sets, including in particular the case in which the set is described by a system of linear as well as strictly convex constraints. The convergence...
Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Giannessi, F. (1997)
Journal of Inequalities and Applications [electronic only]
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Verma, Ram U. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Paolo Cubiotti (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this note we prove that some recent results on an implicit variational inequality problem for multivalued mappings, which seem to extend and improve some well-known and celebrated results, are not correct.
Peng, Jian-Wen, Yang, Xin-Min (2006)
Journal of Inequalities and Applications [electronic only]
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