Inertial self-adaptive algorithms for solving non-Lipschitz monotone variational inclusion problems

In this paper, we introduce a modified Tseng extragradient for solving monotone variational inclusion problem in real Hilbert spaces. Our method does not require the associated single-valued operator to be Lipschitz continuous. Rather, it requires uniform continuity which is a weaker assumption. We...

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Vydáno v:Acta scientiarum mathematicarum (Szeged)
Hlavní autoři: Onifade, O. M., Izuchukwu, C., Narain, O. K., Abass, H. A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: 15.10.2025
ISSN:0001-6969, 2064-8316
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Abstract In this paper, we introduce a modified Tseng extragradient for solving monotone variational inclusion problem in real Hilbert spaces. Our method does not require the associated single-valued operator to be Lipschitz continuous. Rather, it requires uniform continuity which is a weaker assumption. We prove the strong convergence of our new method under some condition on the control parameter. We carry out numerical experiment to show the computational advantage of the new method over some existing methods in the literature. Our results extends and generalizes some well known results in literature.
AbstractList In this paper, we introduce a modified Tseng extragradient for solving monotone variational inclusion problem in real Hilbert spaces. Our method does not require the associated single-valued operator to be Lipschitz continuous. Rather, it requires uniform continuity which is a weaker assumption. We prove the strong convergence of our new method under some condition on the control parameter. We carry out numerical experiment to show the computational advantage of the new method over some existing methods in the literature. Our results extends and generalizes some well known results in literature.
Author Abass, H. A.
Onifade, O. M.
Narain, O. K.
Izuchukwu, C.
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Cites_doi 10.1080/02331934.2018.1455832
10.1080/02331934.2017.1411485
10.1007/s13398-016-0366-3
10.1007/s40306-019-00338-1
10.1016/j.na.2007.05.032
10.1016/j.na.2010.03.034
10.1007/978-94-010-1537-0
10.1007/s11784-018-0526-5
10.1137/20M1387961
10.1007/s11075-015-0007-5
10.1016/j.chaos.2022.112048
10.1007/s10957-022-02074-3
10.1007/978-1-4615-4113-4
10.1007/978-3-642-59073-3_11
10.1109/TCI.2021.3066053
10.1137/17M1120099
10.3390/math8040615
10.1112/S0024610702003332
10.4995/agt.2023.12424
10.1007/s10092-018-0292-1
10.1109/MSP.2022.3207451
10.1109/ACCESS.2021.3053141
10.1137/050626090
10.3934/math.2024412
10.1016/S0362-546X(01)00203-6
10.1080/10556788.2016.1214959
10.1007/978-1-4419-9467-7
10.1007/s40065-018-0236-2
10.23952/jnva.5.2021.1.06
10.1016/j.na.2008.01.005
10.1007/s11784-017-0472-7
10.1007/s10851-014-0523-2
10.1137/S0363012998338806
10.1137/0716071
10.1016/j.amc.2014.10.130
10.1080/02331934.2019.1646742
10.1006/jmaa.1993.1309
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References Y Zhou (204_CR41) 2008; 69
204_CR16
DA Lorenz (204_CR23) 2015; 51
HK Xu (204_CR40) 2002; 66
P Nair (204_CR26) 2021; 7
J Puangpee (204_CR29) 2020; 8
KK Tan (204_CR34) 1993; 178
204_CR18
K Sitthithakerngkiet (204_CR31) 2015; 250
LM Briceño-Arias (204_CR9) 2018; 28
204_CR30
QL Dong (204_CR17) 2017; 19
204_CR10
204_CR32
W Cholamjiak (204_CR12) 2018; 20
RI Boţ (204_CR6) 2016; 71
Y Wang (204_CR39) 2018; 67
V Barbu (204_CR3) 1976
SS Chang (204_CR11) 2001; 47
HH Bauschke (204_CR4) 2011
D Kitkuan (204_CR19) 2020; 69
S Mukherjee (204_CR25) 2021; 34
C Zhang (204_CR42) 2018; 67
RJ Vanderbei (204_CR37) 1991
VF Demyanov (204_CR15) 1996
PL Lions (204_CR22) 1979; 16
P Peeyada (204_CR27) 2022; 158
S Mukherjee (204_CR24) 2023; 40
204_CR20
NT Vinh (204_CR38) 2019; 44
204_CR21
P Tseng (204_CR35) 2000; 38
H Brezis (204_CR8) 1973
PL Combettes (204_CR13) 2005; 4
W Takahashi (204_CR33) 2009; 70
204_CR2
204_CR5
JC Pesquet (204_CR28) 2021; 14
204_CR7
AB Abubakar (204_CR1) 2021; 9
GI Usurelu (204_CR36) 2022; 6
V Dadashi (204_CR14) 2020; 9
References_xml – volume: 67
  start-page: 1197
  year: 2018
  ident: 204_CR42
  publication-title: Optimization
  doi: 10.1080/02331934.2018.1455832
– volume: 67
  start-page: 493
  year: 2018
  ident: 204_CR39
  publication-title: Optimization
  doi: 10.1080/02331934.2017.1411485
– ident: 204_CR30
  doi: 10.1007/s13398-016-0366-3
– volume: 44
  start-page: 639
  issue: 3
  year: 2019
  ident: 204_CR38
  publication-title: Acta Math. Vietnam
  doi: 10.1007/s40306-019-00338-1
– volume-title: Opérateurs maximaux monotones
  year: 1973
  ident: 204_CR8
– volume: 69
  start-page: 456
  year: 2008
  ident: 204_CR41
  publication-title: Nonlinear Anal.
  doi: 10.1016/j.na.2007.05.032
– ident: 204_CR20
  doi: 10.1016/j.na.2010.03.034
– volume-title: Nonlinear Semigroups and Differential Equations in Banach Spaces
  year: 1976
  ident: 204_CR3
  doi: 10.1007/978-94-010-1537-0
– volume: 20
  start-page: 20
  year: 2018
  ident: 204_CR12
  publication-title: J. fixed point theory appl.
  doi: 10.1007/s11784-018-0526-5
– volume: 14
  start-page: 1206
  issue: 3
  year: 2021
  ident: 204_CR28
  publication-title: SIAM J. Imaging Sci.
  doi: 10.1137/20M1387961
– volume: 71
  start-page: 519
  issue: 3
  year: 2016
  ident: 204_CR6
  publication-title: Numer. Algorithms
  doi: 10.1007/s11075-015-0007-5
– volume-title: Uniform continuity is almost Lipschitz continuity
  year: 1991
  ident: 204_CR37
– volume: 158
  year: 2022
  ident: 204_CR27
  publication-title: Chaos Solit. Fractals
  doi: 10.1016/j.chaos.2022.112048
– ident: 204_CR10
  doi: 10.1007/s10957-022-02074-3
– volume-title: Quasi-Differentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics
  year: 1996
  ident: 204_CR15
  doi: 10.1007/978-1-4615-4113-4
– ident: 204_CR21
  doi: 10.1007/978-3-642-59073-3_11
– volume: 7
  start-page: 337
  year: 2021
  ident: 204_CR26
  publication-title: IEEE Trans. Comput. Imaging
  doi: 10.1109/TCI.2021.3066053
– volume: 28
  start-page: 2839
  issue: 4
  year: 2018
  ident: 204_CR9
  publication-title: SIAM J. Optim.
  doi: 10.1137/17M1120099
– volume: 8
  start-page: 615
  year: 2020
  ident: 204_CR29
  publication-title: Mathematics.
  doi: 10.3390/math8040615
– volume: 66
  start-page: 1
  year: 2002
  ident: 204_CR40
  publication-title: J. Lond. Math. Soc.
  doi: 10.1112/S0024610702003332
– ident: 204_CR7
  doi: 10.4995/agt.2023.12424
– ident: 204_CR18
  doi: 10.1007/s10092-018-0292-1
– volume: 40
  start-page: 164
  year: 2023
  ident: 204_CR24
  publication-title: IEEE Signal Process. Mag.
  doi: 10.1109/MSP.2022.3207451
– volume: 9
  start-page: 18262
  year: 2021
  ident: 204_CR1
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2021.3053141
– volume: 34
  start-page: 21413
  year: 2021
  ident: 204_CR25
  publication-title: Adv. Neural. Inf. Process. Syst.
– volume: 4
  start-page: 1168
  year: 2005
  ident: 204_CR13
  publication-title: Multiscale Model. Sim.
  doi: 10.1137/050626090
– ident: 204_CR32
  doi: 10.3934/math.2024412
– volume: 47
  start-page: 583
  year: 2001
  ident: 204_CR11
  publication-title: Nonlinear Anal.
  doi: 10.1016/S0362-546X(01)00203-6
– ident: 204_CR5
  doi: 10.1080/10556788.2016.1214959
– volume-title: Convex analysis and monotone operator theory in Hilbert spaces
  year: 2011
  ident: 204_CR4
  doi: 10.1007/978-1-4419-9467-7
– volume: 9
  start-page: 89
  year: 2020
  ident: 204_CR14
  publication-title: Arab. J. Math.
  doi: 10.1007/s40065-018-0236-2
– ident: 204_CR16
  doi: 10.23952/jnva.5.2021.1.06
– volume: 70
  start-page: 719
  year: 2009
  ident: 204_CR33
  publication-title: Nonlinear Anal.
  doi: 10.1016/j.na.2008.01.005
– volume: 19
  start-page: 3097
  year: 2017
  ident: 204_CR17
  publication-title: J. fixed point theory appl.
  doi: 10.1007/s11784-017-0472-7
– volume: 51
  start-page: 311
  year: 2015
  ident: 204_CR23
  publication-title: J. Math. Imaging Vis.
  doi: 10.1007/s10851-014-0523-2
– volume: 38
  start-page: 431
  year: 2000
  ident: 204_CR35
  publication-title: SIAM J. Control. Optim.
  doi: 10.1137/S0363012998338806
– ident: 204_CR2
– volume: 16
  start-page: 964
  year: 1979
  ident: 204_CR22
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/0716071
– volume: 250
  start-page: 986
  year: 2015
  ident: 204_CR31
  publication-title: Appl. Math. Comput.
  doi: 10.1016/j.amc.2014.10.130
– volume: 6
  start-page: 255
  year: 2022
  ident: 204_CR36
  publication-title: J. Nonlinear Var. Anal.
– volume: 69
  start-page: 1557
  year: 2020
  ident: 204_CR19
  publication-title: Optimization
  doi: 10.1080/02331934.2019.1646742
– volume: 178
  start-page: 301
  year: 1993
  ident: 204_CR34
  publication-title: J. Math. Anal. Appl.
  doi: 10.1006/jmaa.1993.1309
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