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Ram U. Verma (1998)
Commentationes Mathematicae Universitatis Carolinae
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The solvability of a class of monotone nonlinear variational inequality problems in a reflexive Banach space setting is presented.
Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min (2003)
International Journal of Mathematics and Mathematical Sciences
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Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
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Park, Sehie, Chen, Ming-Po (1998)
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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Carbone, Antonio (1998)
International Journal of Mathematics and Mathematical Sciences
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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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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...