TY - JOUR
AU - SABABHEH , M.
AU - KHALIL, R.
PY - 2009
TI - REMARKS ON REMOTAL SETS IN VETOR VALUED FUNCTION SPACES
JO - Journal of Nonlinear Sciences and Applications
SP - 1-10
VL - 2
IS - 1
AB - 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].
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.002.01.01
DO - 10.22436/jnsa.002.01.01
ID - SABABHEH 2009
ER -