%0 Journal Article %T REMARKS ON REMOTAL SETS IN VETOR VALUED FUNCTION SPACES %A SABABHEH , M. %A KHALIL, R. %J Journal of Nonlinear Sciences and Applications %D 2009 %V 2 %N 1 %@ ISSN 2008-1901 %F SABABHEH 2009 %X Let \(X\) be a Banach space and \(E\) be a closed bounded subset of \(X\). For \(x \in X\) we set \(D(x,E) = \sup\{\| x − e \|: e \in E\}\). The set \(E\) is called remotal in \(X\) if for any \(x \in X\), there exists \(e \in E\) such that \(D(x,E) = \| x − e \|\) . It is the object of this paper to give new results on remotal sets in \(L^p(I,X)\), and to simplify the proofs of some results in [5]. %9 journal article %R 10.22436/jnsa.002.01.01 %U http://dx.doi.org/10.22436/jnsa.002.01.01 %P 1-10