A New Extension of Fan-KKM Theory and Equilibrium Theory on Hadamard Manifolds

R. Rahimi, A. P. Farajzadeh, S. M. Vaez


In this paper, an extension of the Fan-KKM lemma to Hadamard
manifolds is establishe. By using it some existence results of equilibrium points on Hadamard manifolds are provided. Finally as an
application of the main results equilibrium an existence result of a solution of the mixed variational inequality problem in the setting of Hadamard manifolds is stated.


Equilibrium problem; Hadamard Manifold; KKM map; Mixed variational inequality


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