Porous sets for mutually nearest points in Banach spaces
Let \(\mathfrak{B}(X)\) denote the family of all nonempty closed bounded subsets of a real Banach space \(X\), endowed with the Hausdorff metric. For \(E, F \in \mathfrak{B}(X)\) we set \(\lambda_{EF} = \inf \{\|z - x\| : x \in E, z \in F \}\). Let \(\mathfrak{D}\) denote the closure (under the maxi...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2008-01-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol28/1/art/opuscula_math_2806.pdf |