1Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan
*E-mail: yaojc@mail.cmu.edu.tw
In this paper, we define a new type of the KKM mapping involving geodesic convex hull on Hadamard manifold, and we prove a related KKM theorem which we call generalized KKM theorem. A classical equilibrium problem on Hadamard manifold is considered. We prove an existence result for classical equilibrium problem by applying generalized KKM theorem. An example is also given in support of our problem.
Hadamard manifold, Geodesic convex hull, Generalized KKM theorem, Classical equilibrium problem, 49J40, 58E35, 90C33
