Set-valued versions of Ky Fan's inequality with application to variational inclusion theory
In this paper the authors prove two generalizations of the Ky Fan minimax inequality. Their approach is based on the set-valued analysis on real normed spaces. As applications, the authors provide proofs of Schauder's and Kakutani's fixed-point theorems. They also solve a variational inclusion problem for set-valued maps and a differential inclusion problem involving the contingent derivative.
scientific article; zbMATH DE number 1956898