Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces
In this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of relatively nonexpansive mapping and a finite family of...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4035695 |
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| _version_ | 1832551206463995904 |
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| author | Mostafa Ghadampour |
| author_facet | Mostafa Ghadampour |
| author_sort | Mostafa Ghadampour |
| collection | DOAJ |
| description | In this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of relatively nonexpansive mapping and a finite family of resolvent operator and the set of solutions of an equilibrium problem. |
| format | Article |
| id | doaj-art-9dd3512e4e354ca5a7800921e1c9faee |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9dd3512e4e354ca5a7800921e1c9faee2025-02-03T06:04:45ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4035695Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach SpacesMostafa Ghadampour0Department of MathematicsIn this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of relatively nonexpansive mapping and a finite family of resolvent operator and the set of solutions of an equilibrium problem.http://dx.doi.org/10.1155/2022/4035695 |
| spellingShingle | Mostafa Ghadampour Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces Journal of Function Spaces |
| title | Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces |
| title_full | Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces |
| title_fullStr | Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces |
| title_full_unstemmed | Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces |
| title_short | Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces |
| title_sort | extragradient methods for solving split feasibility problem and general equilibrium problem and resolvent operators in banach spaces |
| url | http://dx.doi.org/10.1155/2022/4035695 |
| work_keys_str_mv | AT mostafaghadampour extragradientmethodsforsolvingsplitfeasibilityproblemandgeneralequilibriumproblemandresolventoperatorsinbanachspaces |