EUDML | Optimality and duality in nonsmooth multiobjective optimization involving V-type I invex functions.

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Displaying similar documents to “Optimality and duality in nonsmooth multiobjective optimization involving V-type I invex functions.”

Duality without constraint qualification in nonsmooth optimization.

Nobakhtian, S. (2006)

International Journal of Mathematics and Mathematical Sciences

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Optimality conditions in nondifferentiable $G$ -invex multiobjective programming.

Kim, Ho Jung, Seo, You Young, Kim, Do Sang (2010)

Journal of Inequalities and Applications [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.

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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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Optimality conditions and duality theorems for non-Lipschitz optimization problems.

Gadhi, N. (2004)

Portugaliae Mathematica. Nova Série

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Generalized $(ℱ, b, φ, ρ, θ)$ -univex $n$ -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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Optimality conditions and duality in nonsmooth multiobjective programs.

Kim, Do Sang, Lee, Hyo Jung (2010)

Journal of Inequalities and Applications [electronic only]

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Some relations between variational-like inequalities and efficient solutions of certain nonsmooth optimization problems.

Santos, Lucelina Batista, Rojas-Medar, Marko A., Rufián-Lizana, Antonio (2006)

International Journal of Mathematics and Mathematical Sciences

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Generalized $(ℱ, b, φ, ρ, θ)$ -univex $n$ -set functions and global parametric sufficient optimality conditions in minmax fractional subset programming.

Zalmai, G.J. (2005)

International Journal of Mathematics and Mathematical Sciences

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Optimality Conditions and Duality in Multiobjective Programming With $(P h i, h o)$ -Invexity

Massimiliano Ferrara, Maria Viorica Stefanescu (2008)

The Yugoslav Journal of Operations Research

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Generalized $(ℱ, b, φ, ρ, θ)$ -univex $n$ -set functions and semiparametric duality models in multiobjective fractional subset programming.

Zalmai, G.J. (2005)

International Journal of Mathematics and Mathematical Sciences

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On Duality for Nonsmooth Lipschitz Optimization Problems

Vasile Preda, Miruna Beldiman, Anton Bătătorescu (2009)

The Yugoslav Journal of Operations Research

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Generalized $(ℱ, b, φ, ρ, θ)$ -univex $n$ -set functions and parametric duality models in minmax fractional subset programming.

Zalmai, G.J. (2005)

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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