On lower semicontinuity of the restricted center multifunction
Given a finite dimensional subspace \(V\) and a certain family \({\mathcal F}\) of nonempty closed and bounded subsets of \( {\mathcal C}_0(T,U)\), where \(T\) is a locally compact Hausdorff space and \(U\) is a strictly convex Banach space, we investigate here lower semicontinuity of the restricted...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2009-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/904 |
| _version_ | 1828747503676162048 |
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| author | Devidas Pai |
| author_facet | Devidas Pai |
| author_sort | Devidas Pai |
| collection | DOAJ |
| description | Given a finite dimensional subspace \(V\) and a certain family \({\mathcal F}\) of nonempty closed and bounded subsets of \( {\mathcal C}_0(T,U)\), where \(T\) is a locally compact Hausdorff space and \(U\) is a strictly convex Banach space, we investigate here lower semicontinuity of the restricted center multifunction \(C_{V}:{\mathcal F} \rightrightarrows V.\) In particular, we establish a Haar-like intrinsic characterization of finite dimensional subspaces \(V\) of \({\mathcal C}_0(T,U)\) which yields lower semicontinuity of \(C_{V}.\) |
| first_indexed | 2024-04-14T04:43:19Z |
| format | Article |
| id | doaj.art-178a247402cf4303a072a4a55d6c8903 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T04:43:19Z |
| publishDate | 2009-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-178a247402cf4303a072a4a55d6c89032022-12-22T02:11:33ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2009-02-01381On lower semicontinuity of the restricted center multifunctionDevidas Pai0Indian Institute of Technology BombayGiven a finite dimensional subspace \(V\) and a certain family \({\mathcal F}\) of nonempty closed and bounded subsets of \( {\mathcal C}_0(T,U)\), where \(T\) is a locally compact Hausdorff space and \(U\) is a strictly convex Banach space, we investigate here lower semicontinuity of the restricted center multifunction \(C_{V}:{\mathcal F} \rightrightarrows V.\) In particular, we establish a Haar-like intrinsic characterization of finite dimensional subspaces \(V\) of \({\mathcal C}_0(T,U)\) which yields lower semicontinuity of \(C_{V}.\)https://ictp.acad.ro/jnaat/journal/article/view/904restricted centerrestricted center multifunctionlower semicontinuity of multifunction |
| spellingShingle | Devidas Pai On lower semicontinuity of the restricted center multifunction Journal of Numerical Analysis and Approximation Theory restricted center restricted center multifunction lower semicontinuity of multifunction |
| title | On lower semicontinuity of the restricted center multifunction |
| title_full | On lower semicontinuity of the restricted center multifunction |
| title_fullStr | On lower semicontinuity of the restricted center multifunction |
| title_full_unstemmed | On lower semicontinuity of the restricted center multifunction |
| title_short | On lower semicontinuity of the restricted center multifunction |
| title_sort | on lower semicontinuity of the restricted center multifunction |
| topic | restricted center restricted center multifunction lower semicontinuity of multifunction |
| url | https://ictp.acad.ro/jnaat/journal/article/view/904 |
| work_keys_str_mv | AT devidaspai onlowersemicontinuityoftherestrictedcentermultifunction |