Alternated inertial algorithms for split feasibility problems
We introduce four novel relaxed CQ algorithms with alternating inertial for solving split feasibility problems in real Hilbert spaces. The proposed algorithms employ a new non-monotonic adaptive step size criterion and utilize two different step sizes in each iteration. The weak convergence of the i...
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| Published in | Numerical algorithms Vol. 95; no. 2; pp. 773 - 812 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.02.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1017-1398 1572-9265 |
| DOI | 10.1007/s11075-023-01589-8 |
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| Abstract | We introduce four novel relaxed CQ algorithms with alternating inertial for solving split feasibility problems in real Hilbert spaces. The proposed algorithms employ a new non-monotonic adaptive step size criterion and utilize two different step sizes in each iteration. The weak convergence of the iterative sequences generated by the proposed algorithms is established under some weak conditions. Moreover, the Fejér monotonicity of the even subsequence with respect to the solution set is recovered. Two applications in signal denoising and image deblurring are given to illustrate the computational efficiency of our algorithms. |
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| AbstractList | We introduce four novel relaxed CQ algorithms with alternating inertial for solving split feasibility problems in real Hilbert spaces. The proposed algorithms employ a new non-monotonic adaptive step size criterion and utilize two different step sizes in each iteration. The weak convergence of the iterative sequences generated by the proposed algorithms is established under some weak conditions. Moreover, the Fejér monotonicity of the even subsequence with respect to the solution set is recovered. Two applications in signal denoising and image deblurring are given to illustrate the computational efficiency of our algorithms. |
| Author | Wang, Xianfu Tan, Bing Qin, Xiaolong |
| Author_xml | – sequence: 1 givenname: Bing surname: Tan fullname: Tan, Bing organization: School of Sciences, Southwest Petroleum University, Department of Mathematics, University of British Columbia – sequence: 2 givenname: Xiaolong surname: Qin fullname: Qin, Xiaolong organization: Center for Converging Humanities, Kyung Hee University – sequence: 3 givenname: Xianfu surname: Wang fullname: Wang, Xianfu email: shawn.wang@ubc.ca organization: Department of Mathematics, University of British Columbia |
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| CitedBy_id | crossref_primary_10_1007_s13226_024_00543_1 crossref_primary_10_1007_s40314_024_02960_8 crossref_primary_10_3934_math_2025142 crossref_primary_10_1080_02331934_2024_2347967 |
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| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Keywords | Alternated inertial method 47J30 65K15 47J20 CQ method Signal processing Split feasibility problem Image restoration 47J25 Projection and contraction method |
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| References | Dong, Liu, Yao (CR11) 2022; 23 Reich, Tuyen (CR16) 2022; 71 Hendrickx, Olshevsky (CR18) 2010; 31 Cai, Gu, He (CR38) 2014; 57 Bauschke, Combettes (CR17) 2017 Dolan, Moré (CR41) 2002; 91 CR19 Korpelevich (CR39) 1976; 12 Censor, Elfving (CR1) 1994; 8 CR15 Gibali, Mai, Vinh (CR22) 2019; 15 Sahu, Cho, Dong, Kashyap, Li (CR23) 2021; 87 CR35 CR12 CR34 Byrne (CR5) 2004; 20 CR10 Bauschke, Borwein (CR3) 1996; 38 Yang, Liu (CR28) 2019; 80 Opial (CR36) 1967; 73 Qu, Xiu (CR13) 2005; 21 CR2 Brooke, Censor, Gibali (CR8) 2023; 30 Nesterov (CR26) 1983; 269 CR7 Shehu, Gibali (CR9) 2021; 15 CR29 Shehu, Iyiola (CR33) 2020; 157 CR25 Xu (CR14) 2006; 22 CR24 Gibali, Liu, Tang (CR21) 2018; 12 CR20 Iutzeler, Malick (CR31) 2018; 176 Beck, Guttmann-Beck (CR40) 2019; 34 Beck, Teboulle (CR27) 2009; 2 Byrne (CR4) 2002; 18 Osilike, Aniagbosor (CR37) 2000; 32 Wang, Bovik, Sheikh, Simoncelli (CR42) 2004; 13 Mu, Peng (CR30) 2015; 3 Censor, Bortfeld, Martin, Trofimov (CR6) 2006; 51 Iutzeler, Hendrickx (CR32) 2019; 34 1589_CR19 Y Shehu (1589_CR9) 2021; 15 A Beck (1589_CR27) 2009; 2 HH Bauschke (1589_CR17) 2017 Y Nesterov (1589_CR26) 1983; 269 M Brooke (1589_CR8) 2023; 30 Y Shehu (1589_CR33) 2020; 157 Y Censor (1589_CR6) 2006; 51 X Cai (1589_CR38) 2014; 57 C Byrne (1589_CR4) 2002; 18 Y Censor (1589_CR1) 1994; 8 A Gibali (1589_CR22) 2019; 15 Z Mu (1589_CR30) 2015; 3 1589_CR35 1589_CR12 1589_CR34 HH Bauschke (1589_CR3) 1996; 38 1589_CR10 J Yang (1589_CR28) 2019; 80 Z Wang (1589_CR42) 2004; 13 1589_CR15 F Iutzeler (1589_CR32) 2019; 34 1589_CR29 QL Dong (1589_CR11) 2022; 23 F Iutzeler (1589_CR31) 2018; 176 GM Korpelevich (1589_CR39) 1976; 12 B Qu (1589_CR13) 2005; 21 A Gibali (1589_CR21) 2018; 12 1589_CR2 S Reich (1589_CR16) 2022; 71 MO Osilike (1589_CR37) 2000; 32 1589_CR7 A Beck (1589_CR40) 2019; 34 ED Dolan (1589_CR41) 2002; 91 1589_CR20 Z Opial (1589_CR36) 1967; 73 1589_CR24 C Byrne (1589_CR5) 2004; 20 JM Hendrickx (1589_CR18) 2010; 31 DR Sahu (1589_CR23) 2021; 87 HK Xu (1589_CR14) 2006; 22 1589_CR25 |
| References_xml | – volume: 51 start-page: 2353 year: 2006 end-page: 2365 ident: CR6 article-title: A unified approach for inversion problems in intensity-modulated radiation therapy publication-title: Phys. Med. Biol. doi: 10.1088/0031-9155/51/10/001 – volume: 8 start-page: 221 year: 1994 end-page: 239 ident: CR1 article-title: A multiprojection algorithm using Bregman projections in a product space publication-title: Numer. Algorithms doi: 10.1007/BF02142692 – volume: 15 start-page: 963 year: 2019 end-page: 984 ident: CR22 article-title: A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2018080 – volume: 269 start-page: 543 year: 1983 end-page: 547 ident: CR26 article-title: A method for solving the convex programming problem with convergence rate publication-title: Dokl. Akad. Nauk SSSR – volume: 38 start-page: 367 year: 1996 end-page: 426 ident: CR3 article-title: On projection algorithms for solving convex feasibility problems publication-title: SIAM Rev. doi: 10.1137/S0036144593251710 – volume: 176 start-page: 688 year: 2018 end-page: 710 ident: CR31 article-title: On the proximal gradient algorithm with alternated inertia publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-018-1226-4 – volume: 91 start-page: 201 year: 2002 end-page: 213 ident: CR41 article-title: Benchmarking optimization software with performance profiles publication-title: Math. Program. doi: 10.1007/s101070100263 – volume: 21 start-page: 1655 year: 2005 end-page: 1665 ident: CR13 article-title: A note on the CQ algorithm for the split feasibility problem publication-title: Inverse Problems doi: 10.1088/0266-5611/21/5/009 – year: 2017 ident: CR17 publication-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces doi: 10.1007/978-3-319-48311-5 – ident: CR2 – volume: 73 start-page: 591 year: 1967 end-page: 597 ident: CR36 article-title: Weak convergence of the sequence of successive approximations for nonexpansive mappings publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1967-11761-0 – volume: 157 start-page: 315 year: 2020 end-page: 337 ident: CR33 article-title: Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2020.06.009 – ident: CR12 – volume: 87 start-page: 1075 year: 2021 end-page: 1095 ident: CR23 article-title: Inertial relaxed CQ algorithms for solving a split feasibility problem in Hilbert spaces publication-title: Numer. Algorithms doi: 10.1007/s11075-020-00999-2 – ident: CR10 – volume: 71 start-page: 4423 year: 2022 end-page: 4445 ident: CR16 article-title: A new approach to solving split equality problems in Hilbert spaces publication-title: Optimization doi: 10.1080/02331934.2021.1945053 – volume: 80 start-page: 741 year: 2019 end-page: 752 ident: CR28 article-title: Strong convergence result for solving monotone variational inequalities in Hilbert space publication-title: Numer. Algorithms doi: 10.1007/s11075-018-0504-4 – volume: 15 start-page: 2109 year: 2021 end-page: 2126 ident: CR9 article-title: New inertial relaxed method for solving split feasibilities publication-title: Optim. Lett. doi: 10.1007/s11590-020-01603-1 – volume: 2 start-page: 183 year: 2009 end-page: 202 ident: CR27 article-title: A fast iterative shrinkage-thresholding algorithm for linear inverse problems publication-title: SIAM J. Imaging Sci. doi: 10.1137/080716542 – volume: 12 start-page: 817 year: 2018 end-page: 830 ident: CR21 article-title: Note on the modified relaxation CQ algorithm for the split feasibility problem publication-title: Optim. Lett. doi: 10.1007/s11590-017-1148-3 – ident: CR35 – ident: CR29 – volume: 34 start-page: 383 year: 2019 end-page: 405 ident: CR32 article-title: A generic online acceleration scheme for optimization algorithms via relaxation and inertia publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2017.1396601 – ident: CR25 – volume: 34 start-page: 172 year: 2019 end-page: 193 ident: CR40 article-title: FOM-a MATLAB toolbox of first-order methods for solving convex optimization problems publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2018.1437159 – ident: CR19 – volume: 3 start-page: 241 year: 2015 end-page: 248 ident: CR30 article-title: A note on the inertial proximal point method publication-title: Stat. Optim. Inf. Comput. doi: 10.19139/124 – volume: 20 start-page: 103 year: 2004 end-page: 120 ident: CR5 article-title: A unified treatment of some iterative algorithms in signal processing and image reconstruction publication-title: Inverse Problems doi: 10.1088/0266-5611/20/1/006 – volume: 18 start-page: 441 year: 2002 end-page: 453 ident: CR4 article-title: Iterative oblique projection onto convex sets and the split feasibility problem publication-title: Inverse Problems doi: 10.1088/0266-5611/18/2/310 – ident: CR15 – volume: 30 start-page: 181 year: 2023 end-page: 205 ident: CR8 article-title: Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning publication-title: Int. Trans. Oper. Res. doi: 10.1111/itor.12929 – volume: 32 start-page: 1181 year: 2000 end-page: 1191 ident: CR37 article-title: Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings publication-title: Math. Comput. Model. doi: 10.1016/S0895-7177(00)00199-0 – volume: 57 start-page: 339 year: 2014 end-page: 363 ident: CR38 article-title: On the convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-013-9599-7 – volume: 13 start-page: 600 year: 2004 end-page: 612 ident: CR42 article-title: Image quality assessment: from error visibility to structural similarity publication-title: IEEE Trans. Image Process. doi: 10.1109/TIP.2003.819861 – ident: CR34 – volume: 12 start-page: 747 year: 1976 end-page: 756 ident: CR39 article-title: The extragradient method for finding saddle points and other problems publication-title: Èkonom. i Mat. Metody – ident: CR7 – volume: 31 start-page: 2802 year: 2010 end-page: 2812 ident: CR18 article-title: Matrix -norms are NP-hard to approximate if publication-title: SIAM J. Matrix Anal. Appl. doi: 10.1137/09076773X – volume: 23 start-page: 591 year: 2022 end-page: 605 ident: CR11 article-title: Self-adaptive projection and contraction methods with alternated inertial terms for solving the split feasibility problem publication-title: J. Nonlinear Convex Anal. – ident: CR24 – volume: 22 start-page: 2021 year: 2006 end-page: 2034 ident: CR14 article-title: A variable Krasnosel’skiǐ-Mann algorithm and the multiple-set split feasibility problem publication-title: Inverse Problems doi: 10.1088/0266-5611/22/6/007 – ident: CR20 – volume: 73 start-page: 591 year: 1967 ident: 1589_CR36 publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1967-11761-0 – volume: 18 start-page: 441 year: 2002 ident: 1589_CR4 publication-title: Inverse Problems doi: 10.1088/0266-5611/18/2/310 – ident: 1589_CR12 doi: 10.1088/0266-5611/20/4/014 – ident: 1589_CR19 doi: 10.1088/0266-5611/25/11/115001 – ident: 1589_CR34 doi: 10.1016/j.cam.2022.114517 – volume: 57 start-page: 339 year: 2014 ident: 1589_CR38 publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-013-9599-7 – volume: 8 start-page: 221 year: 1994 ident: 1589_CR1 publication-title: Numer. Algorithms doi: 10.1007/BF02142692 – volume: 15 start-page: 963 year: 2019 ident: 1589_CR22 publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2018080 – volume: 23 start-page: 591 year: 2022 ident: 1589_CR11 publication-title: J. Nonlinear Convex Anal. – volume: 21 start-page: 1655 year: 2005 ident: 1589_CR13 publication-title: Inverse Problems doi: 10.1088/0266-5611/21/5/009 – volume: 91 start-page: 201 year: 2002 ident: 1589_CR41 publication-title: Math. Program. doi: 10.1007/s101070100263 – ident: 1589_CR25 doi: 10.1016/0041-5553(64)90137-5 – volume: 87 start-page: 1075 year: 2021 ident: 1589_CR23 publication-title: Numer. Algorithms doi: 10.1007/s11075-020-00999-2 – volume: 51 start-page: 2353 year: 2006 ident: 1589_CR6 publication-title: Phys. Med. Biol. doi: 10.1088/0031-9155/51/10/001 – ident: 1589_CR7 doi: 10.5802/ojmo.1 – volume-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces year: 2017 ident: 1589_CR17 doi: 10.1007/978-3-319-48311-5 – volume: 31 start-page: 2802 year: 2010 ident: 1589_CR18 publication-title: SIAM J. Matrix Anal. Appl. doi: 10.1137/09076773X – volume: 32 start-page: 1181 year: 2000 ident: 1589_CR37 publication-title: Math. Comput. Model. doi: 10.1016/S0895-7177(00)00199-0 – volume: 71 start-page: 4423 year: 2022 ident: 1589_CR16 publication-title: Optimization doi: 10.1080/02331934.2021.1945053 – volume: 30 start-page: 181 year: 2023 ident: 1589_CR8 publication-title: Int. Trans. Oper. Res. doi: 10.1111/itor.12929 – ident: 1589_CR29 doi: 10.1007/s40314-022-01819-0 – ident: 1589_CR10 doi: 10.1007/s13398-020-00979-0 – volume: 176 start-page: 688 year: 2018 ident: 1589_CR31 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-018-1226-4 – ident: 1589_CR24 doi: 10.1007/s10915-022-01832-9 – volume: 38 start-page: 367 year: 1996 ident: 1589_CR3 publication-title: SIAM Rev. doi: 10.1137/S0036144593251710 – volume: 22 start-page: 2021 year: 2006 ident: 1589_CR14 publication-title: Inverse Problems doi: 10.1088/0266-5611/22/6/007 – volume: 2 start-page: 183 year: 2009 ident: 1589_CR27 publication-title: SIAM J. Imaging Sci. doi: 10.1137/080716542 – volume: 13 start-page: 600 year: 2004 ident: 1589_CR42 publication-title: IEEE Trans. Image Process. doi: 10.1109/TIP.2003.819861 – volume: 15 start-page: 2109 year: 2021 ident: 1589_CR9 publication-title: Optim. Lett. doi: 10.1007/s11590-020-01603-1 – volume: 20 start-page: 103 year: 2004 ident: 1589_CR5 publication-title: Inverse Problems doi: 10.1088/0266-5611/20/1/006 – volume: 80 start-page: 741 year: 2019 ident: 1589_CR28 publication-title: Numer. Algorithms doi: 10.1007/s11075-018-0504-4 – volume: 34 start-page: 172 year: 2019 ident: 1589_CR40 publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2018.1437159 – volume: 157 start-page: 315 year: 2020 ident: 1589_CR33 publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2020.06.009 – ident: 1589_CR20 doi: 10.1007/s10898-018-0628-z – ident: 1589_CR35 – volume: 12 start-page: 817 year: 2018 ident: 1589_CR21 publication-title: Optim. Lett. doi: 10.1007/s11590-017-1148-3 – ident: 1589_CR15 doi: 10.1088/0266-5611/28/8/085004 – volume: 269 start-page: 543 year: 1983 ident: 1589_CR26 publication-title: Dokl. Akad. Nauk SSSR – volume: 12 start-page: 747 year: 1976 ident: 1589_CR39 publication-title: Èkonom. i Mat. Metody – volume: 3 start-page: 241 year: 2015 ident: 1589_CR30 publication-title: Stat. Optim. Inf. Comput. doi: 10.19139/124 – ident: 1589_CR2 doi: 10.1088/0266-5611/26/10/105018 – volume: 34 start-page: 383 year: 2019 ident: 1589_CR32 publication-title: Optim. 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