On Nonsmooth Optimality Conditions and Duality in Robust Multiobjective Optimization

In this paper, we introduce a new concept of generalized con- vexity, and establish necessary=su cient optimality conditions for (weakly) robust e cient solutions of the considered problem. These optimality condi- tions are presented in terms of limiting subdi erentials of the related func- tions. In addition, we address Mond-Weir-type robust dual problem to the primal one, and explore weak=strong duality relations between them under assumptions of pseudo convexity.