کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840782 | 908492 | 2012 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Stability of solutions for variational relation problems with applications Stability of solutions for variational relation problems with applications](/preview/png/840782.png)
In this paper, we prove that most of problems in variational relations (in the sense of Baire category) are essential and that, for any problem in variational relations, 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’s minimax inequality theorem, the existence of essential components of the set of Nash equilibrium points for general n-person non-cooperative games, the existence of essential component of the set of solutions for vector Ky Fan’s minimax inequality, the existence of essential components of the set of KKM points and the existence of essential components of the set of solutions for Ky Fan’s section theorem.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 4, March 2012, Pages 1758–1767