Effciency conditions for multiobjective fractional variational problem

Abstract

In this paper we define the notion of normal effciency solution. Necessary conditions for normal effcient solutions of a class of multiobjective fractional variational problem (MFP) with nonlinear equality and inequality constraints are are established using a parametric approach to relate efficient solutions of fractional problems and a non-fractional problems. Also, the sufficiency of these conditions for efficiency solutions in problem (MFP) is established using the ( p,b )-quasiinvexity notion. Particularly, for the multiobjective variational problem (MP), similar results are derived