Modified subgradient extragradient method for variational inequality problems

In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. The propo...

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Vydáno v:Numerical algorithms Ročník 79; číslo 2; s. 597 - 610
Hlavní autoři: Thong, Duong Viet, Van Hieu, Dang
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.10.2018
Springer Nature B.V
Témata:
Algebra
Algorithms
Computer Science
Hilbert space
Mathematics
Numeric Computing
Numerical Analysis
Original Paper
Theory of Computation
Subgradient extragradient method
47H10
47J20
Variational inequality problem
47H09
Inertial method
Extragradient method
47J25
ISSN:1017-1398, 1572-9265
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Shrnutí:In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. The proposed algorithm can be considered as an improvement of the previously known inertial extragradient method over each computational step. The performance of the proposed algorithm is also illustrated by several preliminary numerical experiments.
Bibliografie:ObjectType-Article-1
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ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-017-0452-4