Generalized <mml:math alttext="$(\mathcal{F},b,\phi,\rho,\theta)$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>ℱ</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>,</mml:mo><mml:mi>ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo>,</mml:mo><mml:mi>θ</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>-univex <mml:math alttext="$n$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-set
functions and semiparametric duality models in multiobjective fractional subset programming

Zalmai, G. J.

doi:https://doi.org/10.1155/IJMMS.2005.1109

International Journal of Mathematics and Mathematical Sciences

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Volume 2005 | Article ID 123578 | https://doi.org/10.1155/IJMMS.2005.1109

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

G. J. Zalmai¹

Received28 Dec 2003

Revised03 Oct 2004

Abstract

We construct a number of semiparametric duality models and establish appropriate duality results under various generalized (ℱ,b,ϕ,ρ,θ)-univexity assumptions for a multiobjective fractional subset programming problem.

Copyright

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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