A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces
In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces. We present a Tseng-type iterative algorithm for solving the split problem by using self-adaptive techniques. Under certain ass...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/3/152 |
| _version_ | 1797520266542186496 |
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| author | Li-Jun Zhu Yeong-Cheng Liou |
| author_facet | Li-Jun Zhu Yeong-Cheng Liou |
| author_sort | Li-Jun Zhu |
| collection | DOAJ |
| description | In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces. We present a Tseng-type iterative algorithm for solving the split problem by using self-adaptive techniques. Under certain assumptions, we show that the proposed algorithm converges weakly to a solution of the split problem. An application is included. |
| first_indexed | 2024-03-10T07:54:21Z |
| format | Article |
| id | doaj.art-92a0155ad8964d18914b1db51fa016b2 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T07:54:21Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-92a0155ad8964d18914b1db51fa016b22023-11-22T12:02:11ZengMDPI AGAxioms2075-16802021-07-0110315210.3390/axioms10030152A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert SpacesLi-Jun Zhu0Yeong-Cheng Liou1The Key Laboratory of Intelligent Information and Big Data Processing of Ningxia Province, and Health Big Data Research Institute, North Minzu University, Yinchuan 750021, ChinaDepartment of Healthcare Administration and Medical Informatics, Kaohsiung Medical University, Kaohsiung 807, TaiwanIn this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces. We present a Tseng-type iterative algorithm for solving the split problem by using self-adaptive techniques. Under certain assumptions, we show that the proposed algorithm converges weakly to a solution of the split problem. An application is included.https://www.mdpi.com/2075-1680/10/3/152split problemfixed pointvariational inequalitypseudomonotonepseudocontractive operator |
| spellingShingle | Li-Jun Zhu Yeong-Cheng Liou A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces Axioms split problem fixed point variational inequality pseudomonotone pseudocontractive operator |
| title | A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces |
| title_full | A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces |
| title_fullStr | A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces |
| title_full_unstemmed | A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces |
| title_short | A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces |
| title_sort | tseng type algorithm with self adaptive techniques for solving the split problem of fixed points and pseudomonotone variational inequalities in hilbert spaces |
| topic | split problem fixed point variational inequality pseudomonotone pseudocontractive operator |
| url | https://www.mdpi.com/2075-1680/10/3/152 |
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