A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
Abstract Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1482-0 |
| _version_ | 1818216313456164864 |
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| author | Ali Mohamed Saddeek |
| author_facet | Ali Mohamed Saddeek |
| author_sort | Ali Mohamed Saddeek |
| collection | DOAJ |
| description | Abstract Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the minimum norm solution of such inequalities, the current paper attempts to introduce a modified two-layer iteration via a boundary point approach and to prove its strong convergence. The results here improve and extend the corresponding recent results announced by Badriev, Zadvornov and Saddeek (Differ. Equ. 37:934-942, 2001). |
| first_indexed | 2024-12-12T06:49:59Z |
| format | Article |
| id | doaj.art-788fc11a22b34bc699ddc9b69cb5bc0b |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-12T06:49:59Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-788fc11a22b34bc699ddc9b69cb5bc0b2022-12-22T00:34:05ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-09-012017111610.1186/s13660-017-1482-0A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalitiesAli Mohamed Saddeek0Faculty of Science, Department of Mathematics, Assiut UniversityAbstract Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the minimum norm solution of such inequalities, the current paper attempts to introduce a modified two-layer iteration via a boundary point approach and to prove its strong convergence. The results here improve and extend the corresponding recent results announced by Badriev, Zadvornov and Saddeek (Differ. Equ. 37:934-942, 2001).http://link.springer.com/article/10.1186/s13660-017-1482-0modified two-layer iterationmultivalued pseudomonotone mappinggeneralized mixed variational inequalitiesstrong convergenceuniformly convex spaces |
| spellingShingle | Ali Mohamed Saddeek A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities Journal of Inequalities and Applications modified two-layer iteration multivalued pseudomonotone mapping generalized mixed variational inequalities strong convergence uniformly convex spaces |
| title | A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| title_full | A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| title_fullStr | A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| title_full_unstemmed | A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| title_short | A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| title_sort | modified two layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities |
| topic | modified two-layer iteration multivalued pseudomonotone mapping generalized mixed variational inequalities strong convergence uniformly convex spaces |
| url | http://link.springer.com/article/10.1186/s13660-017-1482-0 |
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