Existence and continuity for the ε-approximation equilibrium problems in Hadamard spaces

Abstract

Abstract In this paper, the existence of ε-approximate equilibrium points for a bifunction is proved under suitable conditions in the framework of a Hadamard space. We also give the sufficient conditions for the continuity of ε-approximate solution maps to equilibrium problems. Then we apply our results to constrained minimization problems and Nash-equilibrium problems.

Keywords

• ε-approximation solution
• continuity
• equilibrium problem
• Hadamard space