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

Journal of inequalities and applications

Pakkapon Preechasilp¹ 

关键词: ε-approximation solution;    continuity;    equilibrium problem;    Hadamard space;    47J25;    47N10;    34G20;    65J15;   

DOI  :  10.1186/s13660-016-1073-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY