ABSTRACT
The purpose of this paper is to study the existence of maximal elements with applications to Nash equilibrium problems for generalized games in Hadamard manifolds. By employing a KKM lemma, we establish a new maximal element theorem in Hadamard manifolds. As applications, some existence results of Nash equilibria for generalized games are derived. The results in this paper unify, improve and extend some known results from the literature.
Acknowledgements
The authors would like to thank the referees for their valuable suggestions for improvement of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.