Existence and uniqueness result for a class of mixed variational problems

Abstract

Abstract Our aim in this paper is to investigate the existence and uniqueness result for a class of mixed variational problems. They are governed by two variational inequalities. By applying the saddle-point theory, we obtain the existence of solutions to mixed variational problems. Finally, some frictional contact problems are given to illustrate our main results.

Keywords

• Mixed variational problem
• Variational inequalities
• Contact problem
• Existence
• Saddle-point theory