Efficiency and duality for a vector of quotients of curvilinear functionals on the first‐order jet bundle

Abstract

SummaryIn the present work, we focus on the multitime multiobjective nondifferentiable fractional variational problems in the first‐order jet bundle. The problem minimizes a vector of quotients of the form of curvilinear integral type containing the support functions with respect to some partial differential equations and inequations. The necessary and sufficient optimality conditions for the problem have been established under (H,δ)‐convexity assumptions. Further, we have introduced a parametric multitime multiobjective nondifferentiable variational dual problem and studied the duality relations considering the functionals involved to be (H,δ)‐convex.