Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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AN APPLICATION OF A GENERALIZED NéMETH FIXED POINT THEOREM IN HADAMARD MANIFOLDS

  • Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
  • Received : 2020.10.20
  • Accepted : 2021.01.01
  • Published : 2021.05.15
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Abstract

In this paper, as an application of a multivalued generalization of the Németh fixed point theorem, we will prove a new existence theorem of Nash equilibrium for a generalized game 𝓖 = (Xi; Ai, Pi)i∈I with geodesic convex values in Hadamard manifolds.

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Acknowledgement

The author would like to thank the referees for the careful reading of this paper and helpful comments.

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