REMARKS ON REMOTAL SETS IN VETOR VALUED FUNCTION SPACES
2009; International Scientific Research Publications; Volume: 02; Issue: 01 Linguagem: Inglês
10.22436/jnsa.002.01.01
ISSN2008-1901
AutoresMohammad Sababheh, Roshdi Khalil,
Tópico(s)Fixed Point Theorems Analysis
ResumoLet X be a Banach space and E be a closed bounded subset of X.For x ∈ X we set D(x, E) = sup{ x -e : e ∈ E}.The set E is called remotal in X if for any x ∈ X, there exists e ∈ 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].
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