Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces
In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem. We study the convergence of some algorithms to solutions of the proposed nonconvex probl...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/8708065 |
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| author | M. Bounkhel Dj. Bounekhel |
| author_facet | M. Bounkhel Dj. Bounekhel |
| author_sort | M. Bounkhel |
| collection | DOAJ |
| description | In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem. We study the convergence of some algorithms to solutions of the proposed nonconvex problems in Banach spaces. |
| format | Article |
| id | doaj-art-5a2d3e9df01f4515b4b5e9a494a73d00 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5a2d3e9df01f4515b4b5e9a494a73d002025-02-03T05:58:28ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/87080658708065Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach SpacesM. Bounkhel0Dj. Bounekhel1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaFaculté des Sciences et Techniques, Université de Jijel, P.O. Box 98, Cité Ouled Aissa, Jijel, AlgeriaIn this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem. We study the convergence of some algorithms to solutions of the proposed nonconvex problems in Banach spaces.http://dx.doi.org/10.1155/2017/8708065 |
| spellingShingle | M. Bounkhel Dj. Bounekhel Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces Journal of Function Spaces |
| title | Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces |
| title_full | Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces |
| title_fullStr | Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces |
| title_full_unstemmed | Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces |
| title_short | Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces |
| title_sort | iterative schemes for nonconvex quasi variational problems with v prox regular data in banach spaces |
| url | http://dx.doi.org/10.1155/2017/8708065 |
| work_keys_str_mv | AT mbounkhel iterativeschemesfornonconvexquasivariationalproblemswithvproxregulardatainbanachspaces AT djbounekhel iterativeschemesfornonconvexquasivariationalproblemswithvproxregulardatainbanachspaces |