A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces
In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9568060 |
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| author | Takanori Ibaraki Shunsuke Kajiba Yukio Takeuchi |
| author_facet | Takanori Ibaraki Shunsuke Kajiba Yukio Takeuchi |
| author_sort | Takanori Ibaraki |
| collection | DOAJ |
| description | In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem. |
| format | Article |
| id | doaj-art-4463cb3646c648fdbceb2f94e6b567cd |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4463cb3646c648fdbceb2f94e6b567cd2025-02-03T01:22:52ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9568060A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert SpacesTakanori Ibaraki0Shunsuke Kajiba1Yukio Takeuchi2Department of Mathematics EducationGraduate School of Environment and Information SciencesTakahashi Institute for Nonlinear AnalysisIn this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.http://dx.doi.org/10.1155/2022/9568060 |
| spellingShingle | Takanori Ibaraki Shunsuke Kajiba Yukio Takeuchi A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces Abstract and Applied Analysis |
| title | A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces |
| title_full | A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces |
| title_fullStr | A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces |
| title_full_unstemmed | A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces |
| title_short | A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces |
| title_sort | weak convergence theorem for common fixed points of two nonlinear mappings in hilbert spaces |
| url | http://dx.doi.org/10.1155/2022/9568060 |
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