Iterative algorithm for singularities of inclusion problems in Hadamard manifolds
Abstract The main purpose of this paper is to introduce a new iterative algorithm to solve inclusion problems in Hadamard manifolds. Moreover, applications to convex minimization problems and variational inequality problems are studied. A numerical example also is presented to support our main theor...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02676-x |
| _version_ | 1818718181696471040 |
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| author | Parin Chaipunya Konrawut Khammahawong Poom Kumam |
| author_facet | Parin Chaipunya Konrawut Khammahawong Poom Kumam |
| author_sort | Parin Chaipunya |
| collection | DOAJ |
| description | Abstract The main purpose of this paper is to introduce a new iterative algorithm to solve inclusion problems in Hadamard manifolds. Moreover, applications to convex minimization problems and variational inequality problems are studied. A numerical example also is presented to support our main theorem. |
| first_indexed | 2024-12-17T19:46:58Z |
| format | Article |
| id | doaj.art-5b7e96a727564c2a8c2ac9804d80aec9 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-17T19:46:58Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5b7e96a727564c2a8c2ac9804d80aec92022-12-21T21:34:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-08-012021112210.1186/s13660-021-02676-xIterative algorithm for singularities of inclusion problems in Hadamard manifoldsParin Chaipunya0Konrawut Khammahawong1Poom Kumam2Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT)Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT)Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT)Abstract The main purpose of this paper is to introduce a new iterative algorithm to solve inclusion problems in Hadamard manifolds. Moreover, applications to convex minimization problems and variational inequality problems are studied. A numerical example also is presented to support our main theorem.https://doi.org/10.1186/s13660-021-02676-xHadamard manifoldsInclusion problemsInverse-strongly-monotone vector fieldMaximal monotone vector fieldProximal point method |
| spellingShingle | Parin Chaipunya Konrawut Khammahawong Poom Kumam Iterative algorithm for singularities of inclusion problems in Hadamard manifolds Journal of Inequalities and Applications Hadamard manifolds Inclusion problems Inverse-strongly-monotone vector field Maximal monotone vector field Proximal point method |
| title | Iterative algorithm for singularities of inclusion problems in Hadamard manifolds |
| title_full | Iterative algorithm for singularities of inclusion problems in Hadamard manifolds |
| title_fullStr | Iterative algorithm for singularities of inclusion problems in Hadamard manifolds |
| title_full_unstemmed | Iterative algorithm for singularities of inclusion problems in Hadamard manifolds |
| title_short | Iterative algorithm for singularities of inclusion problems in Hadamard manifolds |
| title_sort | iterative algorithm for singularities of inclusion problems in hadamard manifolds |
| topic | Hadamard manifolds Inclusion problems Inverse-strongly-monotone vector field Maximal monotone vector field Proximal point method |
| url | https://doi.org/10.1186/s13660-021-02676-x |
| work_keys_str_mv | AT parinchaipunya iterativealgorithmforsingularitiesofinclusionproblemsinhadamardmanifolds AT konrawutkhammahawong iterativealgorithmforsingularitiesofinclusionproblemsinhadamardmanifolds AT poomkumam iterativealgorithmforsingularitiesofinclusionproblemsinhadamardmanifolds |