Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces
The purpose of this paper is to find a common element of the fixed point set of a nonexpansive mapping and the set of solutions of the general split variational inclusion problem in symmetric Hilbert spaces by using the inertial viscosity iterative method. Some strong convergence theorems of the pro...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/8/1502 |
| _version_ | 1797583210055467008 |
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| author | Chanjuan Pan Kunyang Wang |
| author_facet | Chanjuan Pan Kunyang Wang |
| author_sort | Chanjuan Pan |
| collection | DOAJ |
| description | The purpose of this paper is to find a common element of the fixed point set of a nonexpansive mapping and the set of solutions of the general split variational inclusion problem in symmetric Hilbert spaces by using the inertial viscosity iterative method. Some strong convergence theorems of the proposed algorithm are demonstrated. As applications, we use our results to study the split feasibility problem and the split minimization problem. Finally, the numerical experiments are presented to illustrate the feasibility and effectiveness of our theoretical findings, and our results extend and improve many recent ones. |
| first_indexed | 2024-03-10T23:32:38Z |
| format | Article |
| id | doaj.art-6ae43a20dff14505b0bfb12486163222 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T23:32:38Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-6ae43a20dff14505b0bfb124861632222023-11-19T03:10:40ZengMDPI AGSymmetry2073-89942023-07-01158150210.3390/sym15081502Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert SpacesChanjuan Pan0Kunyang Wang1Department of Basic Teaching, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, ChinaKey Laboratory of Rare Earth Optoelectronic Materials and Devices of Zhejiang Province, Institute of Optoelectronic Materials and Devices, China Jiliang University, Hangzhou 310018, ChinaThe purpose of this paper is to find a common element of the fixed point set of a nonexpansive mapping and the set of solutions of the general split variational inclusion problem in symmetric Hilbert spaces by using the inertial viscosity iterative method. Some strong convergence theorems of the proposed algorithm are demonstrated. As applications, we use our results to study the split feasibility problem and the split minimization problem. Finally, the numerical experiments are presented to illustrate the feasibility and effectiveness of our theoretical findings, and our results extend and improve many recent ones.https://www.mdpi.com/2073-8994/15/8/1502inertial viscosity methodsplit variational inclusion problemfixed pointstrong convergenceHilbert spaces |
| spellingShingle | Chanjuan Pan Kunyang Wang Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces Symmetry inertial viscosity method split variational inclusion problem fixed point strong convergence Hilbert spaces |
| title | Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces |
| title_full | Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces |
| title_fullStr | Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces |
| title_full_unstemmed | Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces |
| title_short | Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces |
| title_sort | inertial viscosity approximation methods for general split variational inclusion and fixed point problems in hilbert spaces |
| topic | inertial viscosity method split variational inclusion problem fixed point strong convergence Hilbert spaces |
| url | https://www.mdpi.com/2073-8994/15/8/1502 |
| work_keys_str_mv | AT chanjuanpan inertialviscosityapproximationmethodsforgeneralsplitvariationalinclusionandfixedpointproblemsinhilbertspaces AT kunyangwang inertialviscosityapproximationmethodsforgeneralsplitvariationalinclusionandfixedpointproblemsinhilbertspaces |