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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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...
Noor, Muhammad Aslam (2009)
Applied Mathematics E-Notes [electronic only]
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Noor, Muhammad Aslam (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Noor, Muhammed Aslam (1991)
International Journal of Mathematics and Mathematical Sciences
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H. Brézis, G. Stampacchia (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Noor, Muhammad Aslam (2006)
International Journal of Mathematics and Mathematical Sciences
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Noor, Muhammad Aslam (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Śladkowska, Janina (2015-11-13T13:54:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Noor, Muhammad Aslam (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Steinbach, Jörg (1998)
Journal of Convex Analysis
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Jan Sokołowski (1987)
Banach Center Publications
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Verma, Ram U. (2002)
Southwest Journal of Pure and Applied Mathematics [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...