E-ciency conditions for multiobjective fractional variational problems
Ştefan Mititelu · 2000
In this paper we deflne the notion of normal e-ciency solution. Necessary conditions for normal e-cient solutions of a class of multiob- jective fractional variational problem (MFP) with nonlinear equality and inequality constraints are are established using a parametric approach to relate e-cient solutions of fractional problems and a non-fractional prob- lems. Also, the su-ciency of these conditions for e-ciency solutions in problem (MFP) is established using the (‰;b)-quasiinvexity notion. Par- ticularly, for the multiobjective variational problem (MP), similar results are derived.