Optimality conditions in nondifferentiable -invex multiobjective programming.
Kim, Ho Jung, Seo, You Young, Kim, Do Sang (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Some relations between variational-like inequalities and efficient solutions of certain nonsmooth optimization problems.”
Optimality conditions in nondifferentiable -invex multiobjective programming.
On the velocity projection map for polyhedral Skorokhod problems.
Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
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Optimality conditions for weak efficiency to vector optimization problems with composed convex functions
Radu Boţ, Ioan Hodrea, Gert Wanka (2008)
Open Mathematics
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We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some convex functions. Our aim is to provide necessary and sufficient conditions for the weakly efficient solutions of this vector problem. Moreover, a multiobjective dual treatment is given and weak and strong duality assertions are proved.
Optimality and duality in nonsmooth multiobjective optimization involving V-type I invex functions.
Agarwal, Ravi P., Ahmad, I., Husain, Z., Jayswal, A. (2010)
Journal of Inequalities and Applications [electronic only]
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A density result in vector optimization.
Zaslavski, Alexander J. (2006)
International Journal of Mathematics and Mathematical Sciences
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A note on essential components and essential weakly efficient solutions for multiobjective optimization problems.
Luo, Qun (2009)
Journal of Inequalities and Applications [electronic only]
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The simultaneous nonlinear inequalities problem and applications.
Mitrović, Zoran D. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Duality without constraint qualification in nonsmooth optimization.
Nobakhtian, S. (2006)
International Journal of Mathematics and Mathematical Sciences
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Efficiency and generalized convex duality for nondifferentiable multiobjective programs.
Bae, Kwan Deok, Kang, Young Min, Kim, Do Sang (2010)
Journal of Inequalities and Applications [electronic only]
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Generalized -univex -set functions and global semiparametric sufficient efficiency conditions in multiobjective fractional subset programming.
Zalmai, G.J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Nonsmooth equations approach to a constrained minimax problem
Yan Gao, Xuewen Li (2005)
Applications of Mathematics
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An equivalent model of nonsmooth equations for a constrained minimax problem is derived by using a KKT optimality condition. The Newton method is applied to solving this system of nonsmooth equations. To perform the Newton method, the computation of an element of the -differential for the corresponding function is developed.