A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem
In this paper, we aimed to consider the common elements of the generalized split variational inclusion and paramonotone equilibrium problem in real Hilbert spaces. Based on the self-adaptive method, a self-adaptive viscosity-type inertial algorithm to solve the problem under consideration was introd...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025208 |
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| author | Yali Zhao Qixin Dong Xiaoqing Huang |
| author_facet | Yali Zhao Qixin Dong Xiaoqing Huang |
| author_sort | Yali Zhao |
| collection | DOAJ |
| description | In this paper, we aimed to consider the common elements of the generalized split variational inclusion and paramonotone equilibrium problem in real Hilbert spaces. Based on the self-adaptive method, a self-adaptive viscosity-type inertial algorithm to solve the problem under consideration was introduced and the inertial technique was used to accelerate the convergence rate of the method. Under the assumption of generalized monotonicity of the related mappings, the strong convergence of the iterative algorithm was established. The results presented here improve and generalize many results in this area. |
| format | Article |
| id | doaj-art-04ab5344f0dd4db0b8a918411886f015 |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-04ab5344f0dd4db0b8a918411886f0152025-08-20T03:17:09ZengAIMS PressAIMS Mathematics2473-69882025-02-011024504452310.3934/math.2025208A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problemYali Zhao0Qixin Dong1Xiaoqing Huang2School of Mathematical Science, Bohai University, Jinzhou, Liaoning 121013, ChinaSchool of Mathematical Science, Bohai University, Jinzhou, Liaoning 121013, ChinaSchool of Mathematical Science, Bohai University, Jinzhou, Liaoning 121013, ChinaIn this paper, we aimed to consider the common elements of the generalized split variational inclusion and paramonotone equilibrium problem in real Hilbert spaces. Based on the self-adaptive method, a self-adaptive viscosity-type inertial algorithm to solve the problem under consideration was introduced and the inertial technique was used to accelerate the convergence rate of the method. Under the assumption of generalized monotonicity of the related mappings, the strong convergence of the iterative algorithm was established. The results presented here improve and generalize many results in this area.https://www.aimspress.com/article/doi/10.3934/math.2025208generalized split variational inclusionequilibrium problemparamonotonicitystrong convergence |
| spellingShingle | Yali Zhao Qixin Dong Xiaoqing Huang A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem AIMS Mathematics generalized split variational inclusion equilibrium problem paramonotonicity strong convergence |
| title | A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| title_full | A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| title_fullStr | A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| title_full_unstemmed | A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| title_short | A self-adaptive viscosity-type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| title_sort | self adaptive viscosity type inertial algorithm for common solutions of generalized split variational inclusion and paramonotone equilibrium problem |
| topic | generalized split variational inclusion equilibrium problem paramonotonicity strong convergence |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025208 |
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