Modified mann-type inertial subgradient extragradient methods for solving variational inequalities in real Hilbert spaces
Filomat, Tome 36 (2022) no. 5, p. 1557

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This paper is to investigate the monotone variational inequalities (VIPs) in real Hilbert spaces. We constructed two iterative algorithms based on subgradient extragradient algorithms and Tseng's algorithms for solving VIPs. Convergence analysis of the suggested methods are proved. Several numerical examples to illustrate the efficiency of the methods are given.
DOI : 10.2298/FIL2205557S
Classification : 47J25, 47J40, 65K10
Keywords: Variational Inequality, Subgradient Extragradient Methods, Tseng’s Methods, Monotone Operators, Accelerated technique
Zhuang Shan; Lijun Zhu; Yuanheng Wang; Tzu-Chien Yin. Modified mann-type inertial subgradient extragradient methods for solving variational inequalities in real Hilbert spaces. Filomat, Tome 36 (2022) no. 5, p. 1557 . doi: 10.2298/FIL2205557S
@article{10_2298_FIL2205557S,
     author = {Zhuang Shan and Lijun Zhu and Yuanheng Wang and Tzu-Chien Yin},
     title = {Modified mann-type inertial subgradient extragradient methods for solving variational inequalities in real {Hilbert} spaces},
     journal = {Filomat},
     pages = {1557 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205557S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205557S/}
}
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