%0 Journal Article %T $varepsilon$-Simultaneous approximations of downward sets %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Alizadeh, H. %A Rezapour, Sh. %A Vaezpour, S. M. %D 2013 %\ 03/01/2013 %V 39 %N 1 %P 193-203 %! $varepsilon$-Simultaneous approximations of downward sets %K $varepsilon$-simultaneous approximation %K Downward set %K Lattice Banach space %R %X In this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice Banach spaces. Also, we give some results about simultaneous approximations of normal sets. %U http://bims.iranjournals.ir/article_345_3d1cd47063aa5b80dbcd37a8684f8675.pdf