A New Golden Ratio Inertial Algorithm with Two Types of Self Adaptive Step Sizes for Solving Nonlinear Inclusion Problems

The main purpose of this paper is to extend the golden ratio algorithm for monotone mixed variational inequalities (Math Program 184(1):383–410, 2020) to solve a nonlinear inclusion problem that involves non-monotone and locally Lipschitz continuous operators. We show that the developed iterative se...

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Vydáno v:	Journal of scientific computing Ročník 103; číslo 3; s. 86
Hlavní autoři:	Wang, Zhong-bao, Chen, Xing-yu, Chen, Zhang-you
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.06.2025 Springer Nature B.V
Témata:	Algorithms Computational Mathematics and Numerical Analysis Convergence Inequalities Lipschitz condition Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Nonlinear inclusion problem Golden ratio algorithm Convergence and convergence rates Inertial accelerations Self adaptive step sizes
ISSN:	0885-7474, 1573-7691
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Abstract	The main purpose of this paper is to extend the golden ratio algorithm for monotone mixed variational inequalities (Math Program 184(1):383–410, 2020) to solve a nonlinear inclusion problem that involves non-monotone and locally Lipschitz continuous operators. We show that the developed iterative sequence converges towards some solution of the nonlinear inclusion problem. Furthermore, our analysis reveals our algorithm owns the O ( 1 k ) convergence rate and the linear convergence rate. In addition to inheriting all the benefits of the golden ratio algorithm from (Math Program 184(1):383–410, 2020), our algorithm has inertial accelerations and two types of self adaptive step sizes, when applied to monotone mixed variational inequalities.
AbstractList	The main purpose of this paper is to extend the golden ratio algorithm for monotone mixed variational inequalities (Math Program 184(1):383–410, 2020) to solve a nonlinear inclusion problem that involves non-monotone and locally Lipschitz continuous operators. We show that the developed iterative sequence converges towards some solution of the nonlinear inclusion problem. Furthermore, our analysis reveals our algorithm owns the O(1k) convergence rate and the linear convergence rate. In addition to inheriting all the benefits of the golden ratio algorithm from (Math Program 184(1):383–410, 2020), our algorithm has inertial accelerations and two types of self adaptive step sizes, when applied to monotone mixed variational inequalities. The main purpose of this paper is to extend the golden ratio algorithm for monotone mixed variational inequalities (Math Program 184(1):383–410, 2020) to solve a nonlinear inclusion problem that involves non-monotone and locally Lipschitz continuous operators. We show that the developed iterative sequence converges towards some solution of the nonlinear inclusion problem. Furthermore, our analysis reveals our algorithm owns the O ( 1 k ) convergence rate and the linear convergence rate. In addition to inheriting all the benefits of the golden ratio algorithm from (Math Program 184(1):383–410, 2020), our algorithm has inertial accelerations and two types of self adaptive step sizes, when applied to monotone mixed variational inequalities.
ArticleNumber	86
Author	Chen, Zhang-you Wang, Zhong-bao Chen, Xing-yu
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Cites_doi	10.1137/S0363012998338806 10.1137/0716071 10.1002/mma.5703 10.1007/s10957-015-0813-x 10.3934/math.20231184 10.1007/s10898-021-01083-2 10.1023/A:1011253113155 10.1016/S0895-7177(00)00199-0 10.1007/s10107-019-01416-w 10.1007/s10915-023-02311-5 10.1007/s11075-015-0007-5 10.1007/s11590-011-0407-y 10.1080/02331934.2023.2187663 10.1016/j.apnum.2023.08.005 10.1016/0041-5553(64)90137-5 10.1007/s10589-019-00156-z 10.1007/s10915-021-01608-7 10.1007/s10957-023-02320-2 10.1007/s11590-015-0960-x 10.1016/j.na.2006.01.013 10.1007/BF01585096 10.1007/978-1-4419-9467-7 10.1007/s40314-019-0955-9 10.1016/0022-247X(79)90234-8 10.1007/s10851-014-0523-2 10.1007/s11075-023-01746-z
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References	Y Malitsky (2903_CR7) 2020; 184 S Bartz (2903_CR27) 2007; 66 Y Shehu (2903_CR30) 2019; 38 Z Chbani (2903_CR21) 2013; 7 2903_CR24 C Zhang (2903_CR13) 2023; 8 RI Bot (2903_CR18) 2016; 71 PL Lions (2903_CR3) 1979; 16 2903_CR8 OS Iyiola (2903_CR12) 2023; 194 MO Osilike (2903_CR26) 2000; 32 P Tseng (2903_CR5) 2000; 38 P Cholamjiak (2903_CR32) 2021; 88 F Alvarez (2903_CR16) 2001; 9 ZB Wang (2903_CR23) 2023; 96 BT Polyak (2903_CR15) 1964; 4 2903_CR19 DV Hieu (2903_CR9) 2019; 42 F Facchinei (2903_CR2) 2003 FH Murphy (2903_CR33) 1982; 24 DS Kim (2903_CR28) 2016; 10 C Chen (2903_CR31) 2015; 25 MK Tam (2903_CR11) 2023; 199 GB Passty (2903_CR4) 1979; 72 D Lorenz (2903_CR17) 2015; 51 JM Borwein (2903_CR29) 2016; 171 Y Malitsky (2903_CR6) 2020; 30 OK Oyewole (2903_CR14) 2024; 97 D Kinderlehrer (2903_CR1) 1980 ZB Wang (2903_CR22) 2023; 73 ZB Wang (2903_CR20) 2022; 82 J Yang (2903_CR10) 2020; 75 HH Bauschke (2903_CR25) 2011
References_xml	– volume: 38 start-page: 431 year: 2000 ident: 2903_CR5 publication-title: J. Control Optim. doi: 10.1137/S0363012998338806 – volume-title: An Introduction to Variational Inequalities and Their Applications year: 1980 ident: 2903_CR1 – volume: 16 start-page: 964 year: 1979 ident: 2903_CR3 publication-title: J. Numer. Anal. doi: 10.1137/0716071 – volume: 42 start-page: 6067 issue: 18 year: 2019 ident: 2903_CR9 publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.5703 – volume: 171 start-page: 757 issue: 3 year: 2016 ident: 2903_CR29 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-015-0813-x – volume: 8 start-page: 23291 issue: 10 year: 2023 ident: 2903_CR13 publication-title: AIMS Math. doi: 10.3934/math.20231184 – volume: 82 start-page: 499 year: 2022 ident: 2903_CR20 publication-title: Global Optim. doi: 10.1007/s10898-021-01083-2 – ident: 2903_CR24 – volume: 9 start-page: 3 issue: 1–2 year: 2001 ident: 2903_CR16 publication-title: Set-Valued Anal. doi: 10.1023/A:1011253113155 – volume: 32 start-page: 1181 year: 2000 ident: 2903_CR26 publication-title: Math. Comput. Model. doi: 10.1016/S0895-7177(00)00199-0 – volume: 184 start-page: 383 issue: 1 year: 2020 ident: 2903_CR7 publication-title: Math. Program. doi: 10.1007/s10107-019-01416-w – volume: 96 start-page: 1 year: 2023 ident: 2903_CR23 publication-title: J. Sci. Comput. doi: 10.1007/s10915-023-02311-5 – volume: 25 start-page: 2120 year: 2015 ident: 2903_CR31 publication-title: J. Optim. – volume: 71 start-page: 519 issue: 3 year: 2016 ident: 2903_CR18 publication-title: Numer. Algorithms doi: 10.1007/s11075-015-0007-5 – ident: 2903_CR8 – ident: 2903_CR19 – volume: 7 start-page: 18 year: 2013 ident: 2903_CR21 publication-title: Optim. Lett. doi: 10.1007/s11590-011-0407-y – volume: 73 start-page: 2053 issue: 7 year: 2023 ident: 2903_CR22 publication-title: Optimization doi: 10.1080/02331934.2023.2187663 – volume: 194 start-page: 18 year: 2023 ident: 2903_CR12 publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2023.08.005 – volume: 4 start-page: 1 issue: 5 year: 1964 ident: 2903_CR15 publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(64)90137-5 – volume: 75 start-page: 423 year: 2020 ident: 2903_CR10 publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-019-00156-z – volume: 88 start-page: 85 year: 2021 ident: 2903_CR32 publication-title: J. Sci. Comput. doi: 10.1007/s10915-021-01608-7 – volume-title: Finite-Dimensional Variational Inequalities and Complementarity Problems year: 2003 ident: 2903_CR2 – volume: 199 start-page: 993 year: 2023 ident: 2903_CR11 publication-title: Optim. Theory Appl. doi: 10.1007/s10957-023-02320-2 – volume: 10 start-page: 1669 issue: 8 year: 2016 ident: 2903_CR28 publication-title: Optim. Lett. doi: 10.1007/s11590-015-0960-x – volume: 66 start-page: 1198 issue: 5 year: 2007 ident: 2903_CR27 publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/j.na.2006.01.013 – volume: 24 start-page: 92 issue: 1 year: 1982 ident: 2903_CR33 publication-title: Math. Program. doi: 10.1007/BF01585096 – volume: 30 start-page: 1451 issue: 2 year: 2020 ident: 2903_CR6 publication-title: J. Optim. – volume-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces year: 2011 ident: 2903_CR25 doi: 10.1007/978-1-4419-9467-7 – volume: 38 start-page: 161 year: 2019 ident: 2903_CR30 publication-title: Comput. Appl. Math. doi: 10.1007/s40314-019-0955-9 – volume: 72 start-page: 383 issue: 2 year: 1979 ident: 2903_CR4 publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(79)90234-8 – volume: 51 start-page: 311 issue: 2 year: 2015 ident: 2903_CR17 publication-title: Math. Imaging Vis. doi: 10.1007/s10851-014-0523-2 – volume: 97 start-page: 1215 issue: 3 year: 2024 ident: 2903_CR14 publication-title: Numer. Algorithms doi: 10.1007/s11075-023-01746-z
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SubjectTerms	Algorithms Computational Mathematics and Numerical Analysis Convergence Inequalities Lipschitz condition Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
Title	A New Golden Ratio Inertial Algorithm with Two Types of Self Adaptive Step Sizes for Solving Nonlinear Inclusion Problems
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