A modified Ishikawa iteration scheme for b‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces
In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiven...
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| Vydáno v: | Mathematical methods in the applied sciences Ročník 46; číslo 12; s. 13243 - 13261 |
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01.08.2023
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| ISSN: | 0170-4214, 1099-1476 |
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| Abstract | In this article, an Ishikawa iteration scheme is modified for
b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiveness and performance of proposed scheme, we apply the scheme to solve a split feasibility problem and compare it with some existing iterative schemes. |
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| AbstractList | In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiveness and performance of proposed scheme, we apply the scheme to solve a split feasibility problem and compare it with some existing iterative schemes. In this article, an Ishikawa iteration scheme is modified for ‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiveness and performance of proposed scheme, we apply the scheme to solve a split feasibility problem and compare it with some existing iterative schemes. In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiveness and performance of proposed scheme, we apply the scheme to solve a split feasibility problem and compare it with some existing iterative schemes. |
| Author | Phairatchatniyom, Pawicha Berinde, Vasile Kumam, Poom |
| Author_xml | – sequence: 1 givenname: Pawicha orcidid: 0000-0002-3795-0099 surname: Phairatchatniyom fullname: Phairatchatniyom, Pawicha organization: King Mongkut's University of Technology Thonburi (KMUTT) – sequence: 2 givenname: Poom orcidid: 0000-0002-5463-4581 surname: Kumam fullname: Kumam, Poom email: poom.kum@kmutt.ac.th organization: China Medical University – sequence: 3 givenname: Vasile orcidid: 0000-0002-3677-795X surname: Berinde fullname: Berinde, Vasile organization: Academy of Romanian Scientists |
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| Cites_doi | 10.1007/BF02142692 10.1007/s12190-008-0139-z 10.3390/sym14010123 10.1016/0022-247X(67)90085-6 10.1016/S1076-5670(08)70157-5 10.1090/S0002-9939-1974-0336469-5 10.24193/fpt-ro.2019.2.30 10.1016/j.cnsns.2011.01.016 10.1007/s11784-018-0557-y 10.1112/S0024610702003332 10.1088/0266-5611/20/1/006 10.1155/2020/3863819 10.1088/0266-5611/28/8/085004 10.1007/s11228-008-0102-z 10.1002/mma.7572 10.1080/02331934.2017.1306744 10.1017/CBO9780511526152 10.24193/fpt-ro.2021.1.07 10.1080/02331934.2020.1857754 10.1088/0031-9155/51/10/001 10.1016/j.camwa.2011.12.074 10.1088/0266-5611/18/2/310 10.1090/S0002-9939-1953-0054846-3 10.1007/s10957-011-9814-6 10.1186/1687-1812-2013-350 10.1007/s13398-015-0245-3 10.1186/s13663-015-0441-z |
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b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational... In this article, an Ishikawa iteration scheme is modified for ‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion... In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational... |
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| SubjectTerms | b$$ b $$‐enriched nonexpansive mapping fixed point problem Hilbert space Ishikawa iteration scheme Mapping nonexpansive mapping split feasibility problem split variational inclusion problem |
| Title | A modified Ishikawa iteration scheme for b‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces |
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