Essential Stability of Solutions for Maximal Element Theorem with Applications

Essential Stability of Solutions for Maximal Element Theorem with Applications

0.00 Avg rating0 Votes
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: ,
Keywords: programming: dynamic
Abstract:

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 n‐person non‐cooperative games and the existence of essential components of the set of solutions of vector Ky Fan Minimax Inequality.

Reviews

Required fields are marked *. Your email address will not be published.