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.
Classification :
47J25, 47J40, 65K10
Keywords: Variational Inequality, Subgradient Extragradient Methods, Tseng’s Methods, Monotone Operators, Accelerated technique
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/}
}
TY - JOUR AU - Zhuang Shan AU - Lijun Zhu AU - Yuanheng Wang AU - Tzu-Chien Yin TI - Modified mann-type inertial subgradient extragradient methods for solving variational inequalities in real Hilbert spaces JO - Filomat PY - 2022 SP - 1557 VL - 36 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2205557S/ DO - 10.2298/FIL2205557S LA - en ID - 10_2298_FIL2205557S ER -
%0 Journal Article %A Zhuang Shan %A Lijun Zhu %A Yuanheng Wang %A Tzu-Chien Yin %T Modified mann-type inertial subgradient extragradient methods for solving variational inequalities in real Hilbert spaces %J Filomat %D 2022 %P 1557 %V 36 %N 5 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2205557S/ %R 10.2298/FIL2205557S %G en %F 10_2298_FIL2205557S
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