%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 %0 Journal Article %T Farthest points in reflexive locally uniformly rotund Banach spaces %A E. Asplund %J Israel J. Math. %D 1966 %V 4 %F Asplund1966 %0 Journal Article %T Remotal sets revisited %A M. Baronti %A P. Papini %J Taiwanese J. Math. %D 2001 %V 5 %F Baronti2001 %0 Journal Article %T A remark on uniquely remotal sets in C(K,X) %A A. Boszany %J Period.Math.Hungar %D 1981 %V 12 %F Boszany1981 %0 Book %T Lecture notes in Mathematics %A E. Cheney %A W. Light %D 1985 %I Springer-Verlag Berlin Heidelberg %C %F Cheney1985 %0 Journal Article %T Remotal sets in vector valued function spaces %A R. Khalil %A Sh. Al-Sharif %J Scientiae Mathematicae Japonica, 63, No %D 2006 %V 3 %F Khalil2006 %0 Book %T Functional analysis and control theory %A S. Rolewicz %D 1986. %I D.Reidel publishing company %C %F Rolewicz 1986.