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Vietnam Journal of Mathematics 36:4(2008)
437-449
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Some Generalized Quasi-Ky Fan Inequalities
in Topological Ordered Spaces
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Nguyen The Vinh
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Abstract. In this paper, we obtain some
existence results for solutions of some generalized quasi-Ky Fan
inequalities and Nash equilibrium points for a game system in topological
semilattices. Our results are similar to the ones obtained by Luo under
some other conditions about continuity and convexity of vector set-valued
mappings.
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1991 Mathematics Subject Classification: 46N10, 47J20,
54H25, 54C60, 91B50.
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Keywords: Fan-Browder fixed point theorem,
set-valued mapping, minimax inequality, topological semilattices, C-Δ-quasiconvex
(quasiconcave), upper (lower) C-continuous,
generalized Nash equilibrium point.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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