Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function

Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient condit...

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Detalles Bibliográficos
Autor principal: Tripathy, Arun Kumar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897134/
https://www.ncbi.nlm.nih.gov/pubmed/27379308
http://dx.doi.org/10.1155/2014/541524
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author Tripathy, Arun Kumar
author_facet Tripathy, Arun Kumar
author_sort Tripathy, Arun Kumar
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description Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization technique is used to establish duality results under generalized second order ρ-univexity assumption.
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spelling pubmed-48971342016-07-04 Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function Tripathy, Arun Kumar Int Sch Res Notices Research Article Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization technique is used to establish duality results under generalized second order ρ-univexity assumption. Hindawi Publishing Corporation 2014-07-07 /pmc/articles/PMC4897134/ /pubmed/27379308 http://dx.doi.org/10.1155/2014/541524 Text en Copyright © 2014 Arun Kumar Tripathy. https://creativecommons.org/licenses/by/3.0/ 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.
spellingShingle Research Article
Tripathy, Arun Kumar
Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title_full Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title_fullStr Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title_full_unstemmed Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title_short Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
title_sort second order duality in multiobjective fractional programming with square root term under generalized univex function
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897134/
https://www.ncbi.nlm.nih.gov/pubmed/27379308
http://dx.doi.org/10.1155/2014/541524
work_keys_str_mv AT tripathyarunkumar secondorderdualityinmultiobjectivefractionalprogrammingwithsquareroottermundergeneralizedunivexfunction

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