A Nash type solution for hemivariational inequality systems (Q555084)

The authors prove an existence result for a general class of hemivariational inequality systems using the Ky Fan version of the KKM theorem [\textit{K. Fan}, Math. Ann. 266, 519--537 (1984; Zbl 0515.47029)] or Tarafdar fixed points [\textit{E. Tarafdar}, J. Math. Anal. Appl. 128, 475--479 (1987; Zbl 0644.47050)]. As application, an infinite-dimensional version is given for the existence result of Nash generalized derivative points recently introduced by \textit{A. Kristály} [Proc. Am. Math. Soc. 138, No.~5, 1803--1810 (2010; Zbl 1189.91018)]. An application is also proposed to a general hemivariational inequality system.