Duality without constraint qualification in nonsmooth optimization.

Nobakhtian, S.

Displaying similar documents to “Duality without constraint qualification in nonsmooth optimization.”

Efficiency and generalized convex duality for nondifferentiable multiobjective programs.

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Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

Radu Boţ, Ioan Hodrea, Gert Wanka (2008)

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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.

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)

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

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

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Agarwal, Ravi P., Ahmad, I., Husain, Z., Jayswal, A. (2010)

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

Gadhi, N. (2004)

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Optimality conditions and duality in nonsmooth multiobjective programs.

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

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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)

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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)

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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)

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Comparison between different duals in multiobjective fractional programming

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...