Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators
Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6635026 |
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| _version_ | 1832563151735881728 |
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| author | Zhangsong Yao Yan-Kuen Wu Ching-Feng Wen |
| author_facet | Zhangsong Yao Yan-Kuen Wu Ching-Feng Wen |
| author_sort | Zhangsong Yao |
| collection | DOAJ |
| description | Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show that the proposed algorithm has strong convergence under some mild conditions. |
| format | Article |
| id | doaj-art-66b9b4771e57444594734e1d504694b8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-66b9b4771e57444594734e1d504694b82025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66350266635026Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive OperatorsZhangsong Yao0Yan-Kuen Wu1Ching-Feng Wen2School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, ChinaCollege of International Business and Shaoxing Key Laboratory of Intelligent Monitoring and Prevention of Smart City, Zhejiang Yuexiu University of Foreign Languages, Shaoxin, Zhejiang, ChinaCenter for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, TaiwanIterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show that the proposed algorithm has strong convergence under some mild conditions.http://dx.doi.org/10.1155/2021/6635026 |
| spellingShingle | Zhangsong Yao Yan-Kuen Wu Ching-Feng Wen Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators Journal of Mathematics |
| title | Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators |
| title_full | Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators |
| title_fullStr | Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators |
| title_full_unstemmed | Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators |
| title_short | Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators |
| title_sort | strong convergence analysis of iterative algorithms for solving variational inclusions and fixed point problems of pseudocontractive operators |
| url | http://dx.doi.org/10.1155/2021/6635026 |
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