Duality for multiobjective variational problems with invexity (Q1815478)

Consider the non-differentiable multiobjective variational problem: minimize \[ \begin{multlined}\Biggl(\int^{t_1}_{t_0}[f_i(t,x(t),\dot x(t))+(x(t)^TB_1(t)x(t))^{1/2}]dt,\dots,\\ \int^{t_1}_{t_0}[f_p(t,x(t),\dot x(t))+(x(t)^TB_p(t)x(t))^{1/2}]dt\Biggr)\end{multlined} \] subject to \(x(t_0)=x_0\), \(x(t_1)=x_1\), \(g(t,x(t),\dot x(t))\geq 0\), \(t\in I\). Both Wolfe and Mond-Weir type dual problems are formulated and duality results established under appropriate invexity conditions.