Composite Nonsmooth Multiobjective Programs with V-r-Invexity

In this paper, some problems consisting of nonsmooth composite multiobjective programs have been treated with V-r-invexity type of conditions. In particular, we prove the generalized Karush]Kuhn]Tucker sufficient optimality theorem and duality theorems for nonsmooth composite multiobjective programs. Also, weak vector saddle point theorems are obtained for the composite programs under V-r-invexity conditions. The results obtained generalize the results of Hun Kuk et al. to some extent.