Weak nonlinear bilevel problems: Existence of solutions via reverse convex and convex maximization problems

Author:

Aboussoror Abdelmalek, ,Adly Samir,Jalby Vincent,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management,Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management

Reference30 articles.

1. Existence of solutions to two-level optimization problems with nonunique lower-level solutions,;A. Aboussoror;Journal of Mathematical Analysis and Applications,2001

2. Weak bilevel programming problems: Existence of solutions,;A. Aboussoror;in,2002

3. Weak linear bilevel programming problems: Existence of solutions via a penalty method,;A. Aboussoror;Journal of Mathematical Analysis and Applications,2005

4. Existence of solutions to weak nonlinear bilevel problems via MinSup and D.C. problems,;A. Aboussoror;RAIRO Operations Research,2008

5. Reverse convex programs: Stability and global optimality,;A. Aboussoror;Pacific Journal of Optimization,2009

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2. A Branch and Bound-Based Algorithm for the Weak Linear Bilevel Programming Problems;Wuhan University Journal of Natural Sciences;2018-12

3. A New Variant of Penalty Method for Weak Linear Bilevel Programming Problems;Wuhan University Journal of Natural Sciences;2018-07-18

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