On equilibrium point in topological vector spaces

Aba tract: In 17.1 S. Hahn introduoed the notion of 6 /admiaaible subset of a topological TOO tor epaee and proTed, uaing thio notion and Kakutani a fixed point theorem, an interesting and general fixed point theorem for quaaloompaet multiTalued mappings In topological TOO tor spaoea 9 whioh la a generalisation of many fixed point theorema for ifultiTalued mappings* We shall proTe in thia paper, usiing Hahn a fixed point theorem f a general!mation of Browder a. equilibrium point theorem from Ell and of Theorem 1 from Talloo s paper [171.Key wordat Quaaioompaot multiTalued mappings f ^~admla~ Bible auhaet, equilibrium point, topological veotor space.Olaaaifications 47H10 1* Preliminariea.First, we shall giro aomo notations and definitions from ill and Hahn'a fixed point theorem.