Composite nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity
In this paper the authors examine nonsmooth multiobjective problems where the objective function and the constraints are composition of \(V-\rho\)-invex functions. For the composite nonsmooth multjobjective programs involving locally Lipschitz functions they prove generalized Karush-Kuhn-Tucker sufficient optimality theorems and two duality theorems: weak duality and strong duality. In the last part they prove weak saddle point theorems for nonsmooth composite multiobjective programs whose functions are locally Lipschitz and Gateaux differentiable.
scientific article; zbMATH DE number 1340140