Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Existence of solutions to weak nonlinear bilevel problems MinSup and d.c. problems

Abdelmalek Aboussoror;  Abdelatif Mansouri — 2008

RAIRO - Operations Research

In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.

Strong-weak Stackelberg Problems in Finite Dimensional Spaces

Aboussoror, Abdelmalek;  Loridan, Pierre — 1995

Serdica Mathematical Journal

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...

Page 1

Download Results (CSV)