%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