Vali-e-Asr university of Rafsanjan Wavelet and Linear Algebra 2383-1936 3 1 2016 06 01 Some results on functionally convex sets in real Banach spaces 61 67 19956 EN Madjid Eshaghi Department of Mathematics‎, ‎Semnan University‎, ‎P‎. ‎O‎. ‎Box 35195-363‎, ‎Semnan‎, ‎Iran, Hamidreza Reisi PhD student of semnan univercity Alireza Moazzen Department of mathematics‎, ‎Kosar University of Bojnourd‎, ‎Bojnourd‎, ‎Iran Journal Article 2016 02 01 ‎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. https://wala.vru.ac.ir/article_19956_3553e3cac8b3c8c26df3ac4a297a215c.pdf