FIXED POINT THEOREMS FOR MULTI-VALUED MAPPINGS IN LOCALLY CONVEX SPACES

<正> Throughout the present paper it is assumed that E is a real,locally convex,Hausdorfftopological vector space,and X（?）E a nonempty compact convex subset.A multi-valuedmapping F:X→2E is said to be upper（lower） semicontinuous if for any open（closed） setU（?）E the set{x∈X|F（x）(?)U)is open （closed） in X;or,equivalently,for any closed（open） set V（?）E the set{X∈X|F（x）∩ V（?）(?)}is closed （open） in X.Moreover,F