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

Authors

  • Ştefan Mititelu Technical University of Civil Engineering, Bucharest, Romania
  • I.M. Stancu-Minasian 'Gheorghe Mihoc-Caius Iacob' Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania

DOI:

https://doi.org/10.2298/YJOR0901085M

Keywords:

Duality, fractional variational problem, quasi-invexity

Abstract

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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Published

2009-03-01

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Research Articles