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Vietnam Journal of Mathematics 35:2(2007)
201-213
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Set-Valued Versions of Nash Equilibria and
Ky Fan Inequality in Hyperconvex Metric Spaces
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Le Anh Dung
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Abstract. In this paper we prove the
existence of generalized Nash equilibrium points and some versions of Ky
Fan inequality for set-valued mappings in hyperconvex metric spaces. From
these we obtain a version of Kakutani's fixed point theorem in such spaces.
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2000 Mathematics Subject Classification: 47H05, 47H10,
49J40, 53A07.
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Keywords: U.q-convex (U.q-concave; L.q-convex;
L.q-concave) mapping; upper (lower) demicontinuous mapping; generalized
Nash equilibrium point.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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