Title of article :
Characterization of Properly Efficient Solutions for Convex Multiobjective Programming with Nondifferentiable vanishing constraints
Author/Authors :
Shaker Ardakani, Javad Department of Mathematics - Payame Noor University (PNU) , Farahmand Rad, shahriar Department of Mathematics - Payame Noor University (PNU) , Kanzi, Nader Department of Mathematics - Payame Noor University (PNU)
Abstract :
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.
Keywords :
Multiobjective optimization , Vanishing constraints , Convex optimization , Constraint qualification
