Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems
The purpose of this paper is to introduce the extragradient methods for solving split feasibility problems, generalized equilibrium problems, and fixed point problems involved in nonexpansive mappings and pseudocontractive mappings. We establish the results of weak and strong convergence under appro...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6689015 |
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| _version_ | 1832551674667859968 |
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| author | Shahram Rezapour Yuanheng Wang Seyyed Hasan Zakeri |
| author_facet | Shahram Rezapour Yuanheng Wang Seyyed Hasan Zakeri |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | The purpose of this paper is to introduce the extragradient methods for solving split feasibility problems, generalized equilibrium problems, and fixed point problems involved in nonexpansive mappings and pseudocontractive mappings. We establish the results of weak and strong convergence under appropriate conditions. As applications of our three main theorems, when the mappings and their domains take different types of cases, we can obtain nine iterative approximation theorems and corollas on fixed points, variational inequality solutions, and equilibrium points. |
| format | Article |
| id | doaj-art-65e13807b16a479cb19ae82606177206 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-65e13807b16a479cb19ae826061772062025-02-03T06:00:49ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66890156689015Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point ProblemsShahram Rezapour0Yuanheng Wang1Seyyed Hasan Zakeri2Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, ChinaDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranThe purpose of this paper is to introduce the extragradient methods for solving split feasibility problems, generalized equilibrium problems, and fixed point problems involved in nonexpansive mappings and pseudocontractive mappings. We establish the results of weak and strong convergence under appropriate conditions. As applications of our three main theorems, when the mappings and their domains take different types of cases, we can obtain nine iterative approximation theorems and corollas on fixed points, variational inequality solutions, and equilibrium points.http://dx.doi.org/10.1155/2020/6689015 |
| spellingShingle | Shahram Rezapour Yuanheng Wang Seyyed Hasan Zakeri Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems Journal of Mathematics |
| title | Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems |
| title_full | Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems |
| title_fullStr | Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems |
| title_full_unstemmed | Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems |
| title_short | Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems |
| title_sort | iterative methods of weak and strong convergence theorems for the split common solution of the feasibility problems generalized equilibrium problems and fixed point problems |
| url | http://dx.doi.org/10.1155/2020/6689015 |
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