Some results on functionally convex sets in real Banach spaces

‎We use of two notions functionally convex (briefly‎, ‎F--convex) and functionally closed (briefly‎, ‎F--closed) in functional analysis and obtain more results‎. ‎We show that if lbrace A_{alpha} rbrace _{alpha in I} is a family F--convex subsets with non empty intersection of a Banach space X‎, ‎then bigcup_{alphain I}A_{alpha} is F--convex‎. ‎Moreover‎, ‎we introduce new definition of notion F--convexiy‎.

کلیدواژه ها:

convex set ، ‎F--convex set ، F--closed set