Weak Subdifferential in Nonsmooth Analysis and Optimization
Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems co...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/204613 |
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| _version_ | 1832553467776860160 |
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| author | Şahlar F. Meherrem Refet Polat |
| author_facet | Şahlar F. Meherrem Refet Polat |
| author_sort | Şahlar F. Meherrem |
| collection | DOAJ |
| description | Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary optimality condition by using the weak subdifferential in this paper. |
| format | Article |
| id | doaj-art-601329a7de384e78a323fe45abb31c20 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-601329a7de384e78a323fe45abb31c202025-02-03T05:53:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/204613204613Weak Subdifferential in Nonsmooth Analysis and OptimizationŞahlar F. Meherrem0Refet Polat1Department of Mathematics, Yasar University, 35100 Izmir, TurkeyDepartment of Mathematics, Yasar University, 35100 Izmir, TurkeySome properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary optimality condition by using the weak subdifferential in this paper.http://dx.doi.org/10.1155/2011/204613 |
| spellingShingle | Şahlar F. Meherrem Refet Polat Weak Subdifferential in Nonsmooth Analysis and Optimization Journal of Applied Mathematics |
| title | Weak Subdifferential in Nonsmooth Analysis and Optimization |
| title_full | Weak Subdifferential in Nonsmooth Analysis and Optimization |
| title_fullStr | Weak Subdifferential in Nonsmooth Analysis and Optimization |
| title_full_unstemmed | Weak Subdifferential in Nonsmooth Analysis and Optimization |
| title_short | Weak Subdifferential in Nonsmooth Analysis and Optimization |
| title_sort | weak subdifferential in nonsmooth analysis and optimization |
| url | http://dx.doi.org/10.1155/2011/204613 |
| work_keys_str_mv | AT sahlarfmeherrem weaksubdifferentialinnonsmoothanalysisandoptimization AT refetpolat weaksubdifferentialinnonsmoothanalysisandoptimization |