Characterization of Properly Efficient Solutions for Convex Multiobjective Programming with Nondifferentiable vanishing constraints

Document Type : بنیادی - نظری


Department of Mathematics‎, ‎Payame Noor University (PNU)‎, ‎P.OBox‎, ‎19395-4679‎, ‎Tehran‎, ‎Iran.



This paper studies the convex multiobjective optimization problem with vanishing constraints‎. ‎We introduce a new constraint qualification for these problems‎, ‎and then a necessary optimality condition for properly efficient solutions is presented‎. ‎Finally by imposing some assumptions‎, ‎we show that our necessary condition is also sufficient for proper efficiency‎. ‎Our results are formulated in terms of convex subdifferential.


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