A new approach to the extragradient method for nonlinear variational inequalities.
Verma, Ram U. (2000)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “A self-adaptive method for solving a system of nonlinear variational inequalities.”
A new approach to the extragradient method for nonlinear variational inequalities.
Partially relaxed cocoercive variational inqualities and auxiliary problem principle.
Verma, Ram U. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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A new method for solving monotone generalized variational inequalities.
Anh, Pham Ngoc, Kim, Jong Kyu (2010)
Journal of Inequalities and Applications [electronic only]
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Generalized auxiliary problem principle and solvability of a class of nonlinear variational inequalities involving cocoercive and co-Lipschitzian mappings.
Verma, Ram U. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle.
Verma, Ram U. (2006)
Journal of Inequalities and Applications [electronic only]
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General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems.
Verma, Ram U. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Super-relaxed -proximal point algorithms, relaxed -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.
Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
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On a Second-Order Step-Size Algorithm
Nada I. Djuranović-Miličić (2002)
The Yugoslav Journal of Operations Research
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Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations
Shou-qiang Du, Yan Gao (2011)
Applications of Mathematics
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In this paper, we discuss the globalization of some kind of modified Levenberg-Marquardt methods for nonsmooth equations and their applications to nonlinear complementarity problems. In these modified Levenberg-Marquardt methods, only an approximate solution of a linear system at each iteration is required. Under some mild assumptions, the global convergence is shown. Finally, numerical results show that the present methods are promising.