Optimality and duality for nonsmooth multiobjective optimization problems with generalized V -r-invexity

In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V - r -type I functions. The generalized Karush–Kuhn–Tucker sufficient optimality conditions are proved and duality theorems are established for a nonsmooth multiobjective optimization problems involving V - r -type I functions with respect to the same function η .