Wen Kai-ting
Abstract
In this paper,a Browder fixed point theorem is established in noncompact L-convex spaces.As applications,a maximal element theorem,a Ky Fan section theorem,and a Ky Fan intersection theorem are obtained.Finally,existence theorems of equilibrium for abstract economies are yielded in L-convex spaces.
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In this paper,a Browder fixed point theorem is established in noncompact L-convex spaces.As applications,a maximal element theorem,a Ky Fan section theorem,and a Ky Fan intersection theorem are obtained.Finally,existence theorems of equilibrium for abstract economies are yielded in L-convex spaces.
Key concepts: Fixed-point theorem, Kakutani fixed-point theorem, Brouwer fixed-point theorem, Mathematics, Intersection (aeronautics), Danskin's theorem, Intersection theorem, Regular polygon