Refinements of reverse triangle inequalities in inner product spaces.
Ansari, Arsalan Hojjat, Moslehian, Mohammad Sal (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ansari, Arsalan Hojjat, Moslehian, Mohammad Sal (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Moudafi, A. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ansari, A.H., Moslehian, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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Verma, Ram U. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bounkhel, Messaoud, Al-Senan, Bushra R. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
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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.
Ahmed Roubi (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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We analyze the convergence of the prox-regularization algorithms introduced in [1], to solve generalized fractional programs, without assuming that the optimal solutions set of the considered problem is nonempty, and since the objective functions are variable with respect to the iterations in the auxiliary problems generated by Dinkelbach-type algorithms DT1 and DT2, we consider that the regularizing parameter is also variable. On the other hand we study the convergence when the iterates...