Article ID: | iaor20116942 |
Volume: | 150 |
Issue: | 2 |
Start Page Number: | 284 |
End Page Number: | 297 |
Publication Date: | Aug 2011 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Yang Z, Pu J |
Keywords: | programming: dynamic |
In this paper, we prove that most of problems in maximal element theorem (in the sense of Baire category) are essential and that, for any problem in maximal element theorem, there exists at least one essential component of its solution set. As applications, we deduce the existence of essential components of the set of Ky Fan’s points based on Ky Fan Minimax Inequality, the existence of essential components of the set of Nash equilibrium points for general