@article { author = {Eshaghi, Madjid and Reisi, Hamidreza and Moazzen, Alireza}, title = {Some results on functionally convex sets in real Banach spaces}, journal = {Wavelet and Linear Algebra}, volume = {3}, number = {1}, pages = {61-67}, year = {2016}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {}, 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.}, keywords = {convex set,‎F--convex set,F--closed set}, url = {https://wala.vru.ac.ir/article_19956.html}, eprint = {https://wala.vru.ac.ir/article_19956_c84c54eb7ec49c507aa1fd6074db65fe.pdf} }