Existence of local saddle points for a new augmented Lagrangian function.
Zhao, Wenling, Zhang, Jing, Zhou, Jinchuan (2010)
Mathematical Problems in Engineering
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Zhao, Wenling, Zhang, Jing, Zhou, Jinchuan (2010)
Mathematical Problems in Engineering
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Zhang, J., Huang, X.X. (2010)
Journal of Inequalities and Applications [electronic only]
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Letizia Pellegrini (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we present the image space analysis, based on a general separation scheme, with the aim of studying lagrangian duality and shadow prices in Vector Optimization. Two particular kinds of separation are considered; in the linear case, each of them is applied to the study of sensitivity analysis, and it is proved that the derivatives of the perturbation function can be expressed in terms of vector Lagrange multipliers or shadow prices.
Hamala, M., Halická, M. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Tim Hoheisel, Christian Kanzow (2007)
Applications of Mathematics
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We consider a special class of optimization problems that we call Mathematical Programs with Vanishing Constraints, MPVC for short, which serves as a unified framework for several applications in structural and topology optimization. Since an MPVC most often violates stronger standard constraint qualification, first-order necessary optimality conditions, weaker than the standard KKT-conditions, were recently investigated in depth. This paper enlarges the set of optimality criteria...
Bebu, I., Ureche, G. (2001)
APPS. Applied Sciences
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Tadeusz Antczak (2011)
Kybernetika
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In this paper, by using the second order -approximation method introduced by Antczak [3], new saddle point results are obtained for a nonlinear mathematical programming problem involving second order invex functions with respect to the same function . Moreover, a second order -saddle point and a second order -Lagrange function are defined for the so-called second order -approximated optimization problem constructed in this method. Then, the equivalence between an optimal solution...
Halická, M., Hamala, M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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