Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces
In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we exte...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/2/156 |
| _version_ | 1818920909850804224 |
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| author | Chanjuan Pan Yuanheng Wang |
| author_facet | Chanjuan Pan Yuanheng Wang |
| author_sort | Chanjuan Pan |
| collection | DOAJ |
| description | In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method. |
| first_indexed | 2024-12-20T01:29:15Z |
| format | Article |
| id | doaj.art-39c22135d90340d29f5509c98b356f63 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T01:29:15Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-39c22135d90340d29f5509c98b356f632022-12-21T19:58:09ZengMDPI AGMathematics2227-73902019-02-017215610.3390/math7020156math7020156Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach SpacesChanjuan Pan0Yuanheng Wang1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaIn this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method.https://www.mdpi.com/2227-7390/7/2/156Banach spacesviscosity splitting methodinertial methodaccretive operators |
| spellingShingle | Chanjuan Pan Yuanheng Wang Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces Mathematics Banach spaces viscosity splitting method inertial method accretive operators |
| title | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
| title_full | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
| title_fullStr | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
| title_full_unstemmed | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
| title_short | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
| title_sort | convergence theorems for modified inertial viscosity splitting methods in banach spaces |
| topic | Banach spaces viscosity splitting method inertial method accretive operators |
| url | https://www.mdpi.com/2227-7390/7/2/156 |
| work_keys_str_mv | AT chanjuanpan convergencetheoremsformodifiedinertialviscositysplittingmethodsinbanachspaces AT yuanhengwang convergencetheoremsformodifiedinertialviscositysplittingmethodsinbanachspaces |