Image restoration by advanced parallel inertial forward–backward splitting methods
The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions....
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| Veröffentlicht in: | Soft computing (Berlin, Germany) Jg. 25; H. 8; S. 6029 - 6042 |
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| Sprache: | Englisch |
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01.04.2021
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| ISSN: | 1432-7643, 1433-7479 |
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| Abstract | The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. |
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| AbstractList | The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. |
| Author | Yambangwai, Damrongsak Dutta, Hemen Cholamjiak, Watcharaporn Khan, Suhel Ahmad |
| Author_xml | – sequence: 1 givenname: Damrongsak surname: Yambangwai fullname: Yambangwai, Damrongsak organization: School of Science, University of Phayao – sequence: 2 givenname: Suhel Ahmad surname: Khan fullname: Khan, Suhel Ahmad organization: Department of Mathematics, BITS-Pilani – sequence: 3 givenname: Hemen surname: Dutta fullname: Dutta, Hemen organization: Department of Mathematics, Gauhati University – sequence: 4 givenname: Watcharaporn surname: Cholamjiak fullname: Cholamjiak, Watcharaporn email: c-wchp007@hotmail.com organization: School of Science, University of Phayao |
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| Cites_doi | 10.1137/1.9780898717570 10.1007/BF02142692 10.1016/S0022-247X(02)00458-4 10.1007/s13370-016-0473-5 10.1007/s11228-011-0192-x 10.1017/CBO9780511526152 10.1090/S0002-9947-1956-0084194-4 10.1007/s101079900113 10.1016/0041-5553(64)90137-5 10.1137/050626090 10.1007/s11590-016-1102-9 10.1137/1.9780898718836 10.1016/0022-247X(79)90234-8 10.1016/S0377-0427(02)00906-8 10.1007/978-1-4419-9467-7 10.1007/s11784-017-0472-7 10.1016/j.na.2005.08.018 10.1007/s10851-014-0523-2 10.1137/0716071 10.1007/s12190-014-0801-6 10.1137/S0363012998338806 10.1023/A:1011253113155 10.1137/S1052623403427859 10.1007/s10013-015-0129-z 10.3934/jimo.2016078 10.1155/2012/109236 |
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| Keywords | Forward–backward algorithms Hybrid algorithms Variational inclusion problems Image restorations |
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| Title | Image restoration by advanced parallel inertial forward–backward splitting methods |
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