Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/635

 Title: Strong-weak Stackelberg Problems in Finite Dimensional Spaces Authors: Aboussoror, AbdelmalekLoridan, Pierre Keywords: Marginal FunctionsTwo-Level OptimizationLimits of SetsStabilityConvex Analysis Issue Date: 1995 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 21, No 2, (1995), 151p-170p Abstract: We are concerned with two-level optimization problems called strongweak Stackelberg problems, generalizing the class of Stackelberg problems in the strong and weak sense. In order to handle the fact that the considered two-level optimization problems may fail to have a solution under mild assumptions, we consider a regularization involving ε-approximate optimal solutions in the lower level problems. We prove the existence of optimal solutions for such regularized problems and present some approximation results when the parameter ǫ goes to zero. Finally, as an example, we consider an optimization problem associated to a best bound given in [2] for a system of nondifferentiable convex inequalities. URI: http://hdl.handle.net/10525/635 ISSN: 1310-6600 Appears in Collections: Volume 21 Number 2

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