Duality without constraint qualification in nonsmooth optimization.
Nobakhtian, S. (2006)
International Journal of Mathematics and Mathematical Sciences
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Nobakhtian, S. (2006)
International Journal of Mathematics and Mathematical Sciences
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Bae, Kwan Deok, Kang, Young Min, Kim, Do Sang (2010)
Journal of Inequalities and Applications [electronic only]
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Kim, Ho Jung, Seo, You Young, Kim, Do Sang (2010)
Journal of Inequalities and Applications [electronic only]
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Agarwal, Ravi P., Ahmad, I., Husain, Z., Jayswal, A. (2010)
Journal of Inequalities and Applications [electronic only]
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Kim, Do Sang, Lee, Hyo Jung (2010)
Journal of Inequalities and Applications [electronic only]
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Zalmai, G.J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Santos, Lucelina Batista, Rojas-Medar, Marko A., Rufián-Lizana, Antonio (2006)
International Journal of Mathematics and Mathematical Sciences
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Radu Boţ, Robert Chares, Gert Wanka (2007)
Open Mathematics
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The present paper is a continuation of [2] where we deal with the duality for a multiobjective fractional optimization problem. The basic idea in [2] consists in attaching an intermediate multiobjective convex optimization problem to the primal fractional problem, using an approach due to Dinkelbach ([6]), for which we construct then a dual problem expressed in terms of the conjugates of the functions involved. The weak, strong and converse duality statements for the intermediate problems...
Gadhi, N. (2004)
Portugaliae Mathematica. Nova Série
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Sien Deng (2003)
RAIRO - Operations Research - Recherche Opérationnelle
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This paper studies the issue of well-posedness for vector optimization. It is shown that coercivity implies well-posedness without any convexity assumptions on problem data. For convex vector optimization problems, solution sets of such problems are non-convex in general, but they are highly structured. By exploring such structures carefully via convex analysis, we are able to obtain a number of positive results, including a criterion for well-posedness in terms of that of associated...
Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
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Zalmai, G.J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Chen, Jung-Chih, Lai, Hang-Chin (2002)
Applied Mathematics E-Notes [electronic only]
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