Several self-adaptive inertial projection algorithms for solving split variational inclusion problems
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913499365507072 |
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| author | Zhou, Zheng Tan, Bing Li, Songxiao |
| author_facet | Zhou, Zheng Tan, Bing Li, Songxiao |
| contents | This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed under the effect of self-adaptive stepsizes which does not require information of the norms of the given operators. Some strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, an experimental application is given to illustrate the performances of proposed methods by comparing existing results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_07937 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Several self-adaptive inertial projection algorithms for solving split variational inclusion problems Zhou, Zheng Tan, Bing Li, Songxiao Optimization and Control Numerical Analysis Functional Analysis 47H05, 49J40, 65K10, 65Y10 This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed under the effect of self-adaptive stepsizes which does not require information of the norms of the given operators. Some strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, an experimental application is given to illustrate the performances of proposed methods by comparing existing results. |
| title | Several self-adaptive inertial projection algorithms for solving split variational inclusion problems |
| topic | Optimization and Control Numerical Analysis Functional Analysis 47H05, 49J40, 65K10, 65Y10 |
| url | https://arxiv.org/abs/2011.07937 |