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Details for article 5 of 8 found articles
| Title: |
Porous sets for mutually nearest points in Banach spaces |
| Author: |
Chong Li Józef Myjak |
| Appeared in: |
Opuscula mathematica |
| Paging: | Volume 28 (2008) nr. 1 pages 73-82 |
| Year: |
2008 |
| Contents: |
Let $B(X)$ denote the family of all nonempty closed bounded subsets of a real Banach space $X$, endowed with the Hausdorff metric. For $E, F \in B(X)$ we set $\lambda _{EF} = inf \{\|z - x\| : x \in E, z \in F \}$. Let $D$ denote the closure (under the maximum distance) of the set of all $(E, F) \in B(X) \times B(X)$ such that $\lambda {EF} > 0$. It is proved that the set of all $(E, F) \in D $ for which the minimization problem $min_{x \in E, z\in F}\|x - z\|$ fails to be well posed in a $\sigma$-porous subset of $D$. |
| Publisher: |
AGH University of Science and Technology (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 8 found articles
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