V-Prox-Regular Functions in Smooth Banach Spaces
In this paper, we continue the study of the V-prox-regularity that we have started recently for sets. We define an appropriate concept of the V-prox-regularity for functions in reflexive smooth Banach spaces by adapting the one given in Hilbert spaces. Our main goal is to study the relationship betw...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9465492 |
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| _version_ | 1832547144006893568 |
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| author | Messaoud Bounkhel Mostafa Bachar |
| author_facet | Messaoud Bounkhel Mostafa Bachar |
| author_sort | Messaoud Bounkhel |
| collection | DOAJ |
| description | In this paper, we continue the study of the V-prox-regularity that we have started recently for sets. We define an appropriate concept of the V-prox-regularity for functions in reflexive smooth Banach spaces by adapting the one given in Hilbert spaces. Our main goal is to study the relationship between the V-prox-regularity of a given l.s.c. f and the V-prox-regularity of its epigraph. |
| format | Article |
| id | doaj-art-493c033b4636480786882fc8dcb381f3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-493c033b4636480786882fc8dcb381f32025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/94654929465492V-Prox-Regular Functions in Smooth Banach SpacesMessaoud Bounkhel0Mostafa Bachar1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this paper, we continue the study of the V-prox-regularity that we have started recently for sets. We define an appropriate concept of the V-prox-regularity for functions in reflexive smooth Banach spaces by adapting the one given in Hilbert spaces. Our main goal is to study the relationship between the V-prox-regularity of a given l.s.c. f and the V-prox-regularity of its epigraph.http://dx.doi.org/10.1155/2020/9465492 |
| spellingShingle | Messaoud Bounkhel Mostafa Bachar V-Prox-Regular Functions in Smooth Banach Spaces Journal of Function Spaces |
| title | V-Prox-Regular Functions in Smooth Banach Spaces |
| title_full | V-Prox-Regular Functions in Smooth Banach Spaces |
| title_fullStr | V-Prox-Regular Functions in Smooth Banach Spaces |
| title_full_unstemmed | V-Prox-Regular Functions in Smooth Banach Spaces |
| title_short | V-Prox-Regular Functions in Smooth Banach Spaces |
| title_sort | v prox regular functions in smooth banach spaces |
| url | http://dx.doi.org/10.1155/2020/9465492 |
| work_keys_str_mv | AT messaoudbounkhel vproxregularfunctionsinsmoothbanachspaces AT mostafabachar vproxregularfunctionsinsmoothbanachspaces |