Abstract We consider the class of mathematical programs with orthogonality type constraints. Orthogonality constraints appear by reformulating sparsity constraint via auxiliary binary variables and relaxing them afterwards. For a necessary optimality condition in terms T-stationarity is stated. The justification threefold. First, it allows to capture global structure Morse theory, i. e. deforma...

Abstract This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly efficient solutions of the considered problem. These are presented in terms Karush-Kuhn-Tucker multipliers and convexificators related Examples illustrating our find...