数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (3): 310-314.
定光桂
Ding Guanggni
摘要: It is shown that if a "max-subadditive funtional" p(x) defined on some symmetric neighborhood Ū0 of zero vector θ in a "b.f.-toplological group" X is "upper semi-cotinuous" at a point x0 ∈ Ū0, or "lower semi-continuous" in some neighborhood V(x0)⊂Ū0 and X is of second category; then p(x) can attain its supremum in Ū0. And there is a similar conclusion for the γ-max-subadditive functional when its supremum is 0 and if Ū0 is "pseudo-bounded" set in X.