Composite nonsmooth multiobjective programs with V-ρ-invexity

Abstract

In this paper, some problems consisting of nonsmooth composite multiobjective programs have been treated with V-ρ-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-ρ-invexity conditions. The results obtained generalize the results of Hun Kuk et al. to some extent.