A new projection algorithm for generalized variational inequality.
Fang, Changjie, He, Yiran (2010)
Journal of Inequalities and Applications [electronic only]
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Fang, Changjie, He, Yiran (2010)
Journal of Inequalities and Applications [electronic only]
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Marek Smietanski (2008)
Open Mathematics
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An algorithm for univariate optimization using a linear lower bounding function is extended to a nonsmooth case by using the generalized gradient instead of the derivative. A convergence theorem is proved under the condition of semismoothness. This approach gives a globally superlinear convergence of algorithm, which is a generalized Newton-type method.
Messina, E., Muroya, Y., Russo, E., Vecchio, A. (2008)
Discrete Dynamics in Nature and Society
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Jean-Charles Régin, Michel Rueher (2005)
RAIRO - Operations Research - Recherche Opérationnelle
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This paper introduces a new method to prune the domains of the variables in constrained optimization problems where the objective function is defined by a sum , and where the integer variables are subject to difference constraints of the form . An important application area where such problems occur is deterministic scheduling with the mean flow time as optimality criteria. This new constraint is also more general than a sum constraint defined on a set of ordered variables. Classical...
Yang, Ming-Ge, Xu, Jiu-Ping, Huang, Nan-Jing (2011)
Fixed Point Theory and Applications [electronic only]
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Peng, Jian-Wen, Wan, Lun (2009)
International Journal of Mathematics and Mathematical Sciences
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Marco Baronti, Vito Fragnelli, Grzegorz Lewicki (1995)
Commentationes Mathematicae Universitatis Carolinae
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Let be a hyperplane and let be given. Denote In this paper the problem of calculating of the constant is studied. We present a complete characterization of those for which . Next we consider the case . Finally some computer examples will be presented.
Cerdeira, J.Orestes, Barcia, Paulo (1995)
Portugaliae Mathematica
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Peng, Jian-Wen (2006)
Journal of Inequalities and Applications [electronic only]
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Pierre Hansen, Brigitte Jaumard, Junjie Xiong (1998)
The Yugoslav Journal of Operations Research
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Demetrovics, Janos, Thi, Vu Duc, Giang, Nguyen Long (2013)
Serdica Journal of Computing
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There are limitations in recent research undertaken on attribute reduction in incomplete decision systems. In this paper, we propose a distance-based method for attribute reduction in an incomplete decision system. In addition, we prove theoretically that our method is more effective than some other methods.