Journal of the
Korean Mathematical Society JKMS

From a minimax inequality related to admissible multimaps, we deduce generalized versions of lopsided saddle point theorems, fixed point theorems, existence of maximizable linear functionals, the Walras excess demand theorem, and the Gale-Nikaido-Debreu theorem.

Keywords: Convex space, polytope, l.s.c., u.s.c., quasiconcave, quasiconvex, multimap (map), acyclic, admissible map, minimax inequality, fixed point, lopsided saddle point, weakly inward (outward) sets, Walras excess demand theorem, the Gale-Nikaido-Debreu theorem

MSC numbers: Primary 49J35, 47H10, 49K35, 52A07