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

Ştefan Mititelu | Zendy; I‎. ‎M‎. Stancu-Minasian | Zendy

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

Author(s) -

Ştefan Mititelu,

I‎. ‎M‎. Stancu-Minasian

Publication year - 2009

Publication title -

yugoslav journal of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

pISSN - 0354-0243

DOI - 10.2298/yjor0901085m

Subject(s) - duality (order theory) , mathematics , fractional programming , nonlinear system , variational inequality , type (biology) , class (philosophy) , parametric statistics , fractional calculus , mathematical optimization , nonlinear programming , pure mathematics , computer science , physics , ecology , statistics , quantum mechanics , artificial intelligence , biology

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

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