Title of article :
Some results on functionally convex sets in real Banach spaces
Author/Authors :
Eshaghi, Madjid Department of Mathematics - Semnan University - Semnan, Islamic Republic of Iran , Reisi Dezaki, Hamidreza Department of Mathematics - Semnan University - Semnan, Islamic Republic of Iran , Moazzen, Alireza Department of Mathematics - Kosar University of Bojnord - Bojnord, Islamic Republic of Iran
Abstract :
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 fAg2I is a family F–
convex subsets with non empty intersection of a Banach space
X, then ∪ 2I A is F–convex. Moreover, we introduce new definition
of notion F–convexiy
Keywords :
F-convex set , Some results on functionally convex sets in real Banach spaces , convex set
Journal title :
Astroparticle Physics