General algorithm and sensitivity analysis for variational inequalities.
Noor, Muhammad Aslam (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Noor, Muhammad Aslam (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Zeqing, Gao, Haiyan, Kang, Shin Min, Shim, Soo Hak (2006)
International Journal of Mathematics and Mathematical Sciences
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Noor, Muhammed Aslam (1991)
International Journal of Mathematics and Mathematical Sciences
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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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Alexander Kaplan, Rainer Tichatschke (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we clarify that the interior proximal method developed in [6] (vol. 27 of this journal) for solving variational inequalities with monotone operators converges under essentially weaker conditions concerning the functions describing the "feasible" set as well as the operator of the variational inequality.
Verma, Ram U. (2002)
Journal of Applied Mathematics and Stochastic Analysis
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Noor, Muhammad Aslam (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Noor, Muhammad Aslam (2006)
International Journal of Mathematics and Mathematical Sciences
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Noor, Muhammad Aslam (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Liu, Zeqing, Zheng, Pingping, Ume, Jeong Sheok, Kang, Shin Min (2009)
Journal of Inequalities and Applications [electronic only]
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Noor, Muhammad Aslam (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Noor, Muhammad Aslam (2009)
Applied Mathematics E-Notes [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...