Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces
We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization.
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| Format: | Article |
| Language: | English |
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Texas State University
2012-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html |
| _version_ | 1818520442396213248 |
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| author | Messaoud Bounkhel |
| author_facet | Messaoud Bounkhel |
| author_sort | Messaoud Bounkhel |
| collection | DOAJ |
| description | We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization. |
| first_indexed | 2024-12-11T01:37:25Z |
| format | Article |
| id | doaj.art-f2d5bcf0d7e746cb818098b8131244a8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T01:37:25Z |
| publishDate | 2012-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f2d5bcf0d7e746cb818098b8131244a82022-12-22T01:25:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-10-012012168,16Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spacesMessaoud BounkhelWe show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization.http://ejde.math.txstate.edu/Volumes/2012/168/abstr.htmlUniformly smooth and uniformly convex Banach spacesstate dependent sweeping processgeneralized projectionduality mapping |
| spellingShingle | Messaoud Bounkhel Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces Electronic Journal of Differential Equations Uniformly smooth and uniformly convex Banach spaces state dependent sweeping process generalized projection duality mapping |
| title | Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces |
| title_full | Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces |
| title_fullStr | Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces |
| title_full_unstemmed | Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces |
| title_short | Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces |
| title_sort | existence of solutions for convex sweeping processes in p uniformly smooth and q uniformly convex banach spaces |
| topic | Uniformly smooth and uniformly convex Banach spaces state dependent sweeping process generalized projection duality mapping |
| url | http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html |
| work_keys_str_mv | AT messaoudbounkhel existenceofsolutionsforconvexsweepingprocessesinpuniformlysmoothandquniformlyconvexbanachspaces |