A Nash type solution for hemivariational inequality systems

作者：Repovs Dusan; Varga Csaba^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(16): 5585-5590.

DOI：10.1016/j.na.2011.05.043

• Fixed point theory
• Non-smooth functions
• Hemivariational inequality systems

In this paper, we prove an existence result for a general class of hemivariational inequality systems using the Ky Fan version of the KKM theorem Fan (1984) [10] or Tarafdar fixed points Tarafdar (1987) [11]. As application, we give an infinite-dimensional version for the existence result of Nash generalized derivative points introduced recently by Kristaly (2010) [5]. We also give an application to a general hemivariational inequality system.

• 出版日期2011-11