Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems
In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP). We prove the weak and strong convergence of the proposed iterative algorithms to the solution of SpMVIP in real Hilbert spaces. Our algorithms are b...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3665713 |
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| _version_ | 1850217113502875648 |
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| author | Mohammad Dilshad Abdulrahman F. Aljohani Mohammad Akram Ahmed A. Khidir |
| author_facet | Mohammad Dilshad Abdulrahman F. Aljohani Mohammad Akram Ahmed A. Khidir |
| author_sort | Mohammad Dilshad |
| collection | DOAJ |
| description | In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP). We prove the weak and strong convergence of the proposed iterative algorithms to the solution of SpMVIP in real Hilbert spaces. Our algorithms are based on Yosida approximation operators of monotone mappings such that the step size does not require the precalculation of the operator norm. To show the reliability and accuracy of the proposed algorithms, a numerical example is also constructed. |
| format | Article |
| id | doaj-art-2df0b4b8dd2f43e59dd2aefc3fb18669 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2df0b4b8dd2f43e59dd2aefc3fb186692025-08-20T02:08:09ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3665713Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion ProblemsMohammad Dilshad0Abdulrahman F. Aljohani1Mohammad Akram2Ahmed A. Khidir3Computational & Analytical Mathematics and Their Applications Research GroupComputational & Analytical Mathematics and Their Applications Research GroupDepartment of MathematicsComputational & Analytical Mathematics and Their Applications Research GroupIn this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP). We prove the weak and strong convergence of the proposed iterative algorithms to the solution of SpMVIP in real Hilbert spaces. Our algorithms are based on Yosida approximation operators of monotone mappings such that the step size does not require the precalculation of the operator norm. To show the reliability and accuracy of the proposed algorithms, a numerical example is also constructed.http://dx.doi.org/10.1155/2022/3665713 |
| spellingShingle | Mohammad Dilshad Abdulrahman F. Aljohani Mohammad Akram Ahmed A. Khidir Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems Journal of Function Spaces |
| title | Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems |
| title_full | Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems |
| title_fullStr | Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems |
| title_full_unstemmed | Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems |
| title_short | Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems |
| title_sort | yosida approximation iterative methods for split monotone variational inclusion problems |
| url | http://dx.doi.org/10.1155/2022/3665713 |
| work_keys_str_mv | AT mohammaddilshad yosidaapproximationiterativemethodsforsplitmonotonevariationalinclusionproblems AT abdulrahmanfaljohani yosidaapproximationiterativemethodsforsplitmonotonevariationalinclusionproblems AT mohammadakram yosidaapproximationiterativemethodsforsplitmonotonevariationalinclusionproblems AT ahmedakhidir yosidaapproximationiterativemethodsforsplitmonotonevariationalinclusionproblems |