Wem Kai-ting
Abstract
In this paper, we present a new fixed point theorem in L-convex spaces and apply it to obtain a maximal element theorem, a variational inequality and a saddle point theorem in L-convex spaces.
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In this paper, we present a new fixed point theorem in L-convex spaces and apply it to obtain a maximal element theorem, a variational inequality and a saddle point theorem in L-convex spaces.
Key concepts: Mathematics, Fixed-point theorem, Kakutani fixed-point theorem, Brouwer fixed-point theorem, Danskin's theorem, Saddle point, Regular polygon, Variational inequality