Some Generalized Quasi-Ky Fan Inequalities in Topological Ordered Spaces

Authors: Nguyễn Thế Vinh,

http://www.math.ac.vn/publications/vjm/VJM_36/437.htm

Publisher, magazine: ,

Publication year: 2008

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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.

Tags: Fan-Browder fixed point theorem, set-valued mapping, minimax inequality, topological semilattices, C-Δ-quasiconvex (quasiconcave), upper (lower) C-continuous, generalized Nash equilibrium point.