Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity

Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity

The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of a fractional problem and a non-fractional prob...

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Main Authors: Mititelu Ştefan, Stancu-Minasian I.M.
Format: Article
Language:English
Published: University of Belgrade 2009-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Duality
fractional variational problem
quasi-invexity
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901085M.pdf
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spelling doaj-2a6689a79fbd454484409f2d80a838a12020-11-24T22:44:22ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2009-01-01191859910.2298/YJOR0901085MEfficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexityMititelu ŞtefanStancu-Minasian I.M.The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of a fractional problem and a non-fractional problem. Based on these normal efficiency criteria a Mond-Weir type dual is formulated and appropriate duality theorems are proved assuming (ρ,b) - quasi-invexity of the functions involved. http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901085M.pdfDualityfractional variational problemquasi-invexity
collection DOAJ
language English
format Article
sources DOAJ
author Mititelu Ştefan
Stancu-Minasian I.M.
spellingShingle Mititelu Ştefan
Stancu-Minasian I.M.
Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
Yugoslav Journal of Operations Research
Duality
fractional variational problem
quasi-invexity
author_facet Mititelu Ştefan
Stancu-Minasian I.M.
author_sort Mititelu Ştefan
title Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
title_short Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
title_full Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
title_fullStr Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
title_full_unstemmed Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
title_sort efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
publisher University of Belgrade
series Yugoslav Journal of Operations Research
issn 0354-0243
1820-743X
publishDate 2009-01-01
description The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of a fractional problem and a non-fractional problem. Based on these normal efficiency criteria a Mond-Weir type dual is formulated and appropriate duality theorems are proved assuming (ρ,b) - quasi-invexity of the functions involved.
topic Duality
fractional variational problem
quasi-invexity
url http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901085M.pdf
work_keys_str_mv AT mititelustefan efficiencyanddualityformultiobjectivefractionalvariationalproblemswithrbquasiinvexity
AT stancuminasianim efficiencyanddualityformultiobjectivefractionalvariationalproblemswithrbquasiinvexity
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