Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones

Abstract

Abstract We introduce a pair of symmetric dual problems for nondifferentiable multiobjective fractional variational problems with cone constraints over arbitrary cones. On the basis of weak efficiency, we obtain symmetric duality relations for Mond-Weir-type problems under invexity and pseudoinvexity assumptions. Our symmetric duality results extend and improve some known results in Mishra et al. (J. Math. Anal. Appl. 333:1093-1110, 2007) to the cone constraints. MSC:90C29, 90C32, 90C26.