Author = Hamidreza Reisi
Number of Articles: 1
Some results on functionally convex sets in real Banach spaces
Volume 3, Issue 1, 2016, Pages 61-67
Madjid Eshaghi, Hamidreza Reisi, Alireza Moazzen
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 $lbrace A_{alpha} rbrace _{alpha in I}$ 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.