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Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
We propose two modified Tseng's extragradient methods (also known as Forward–Backward–Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented
0233-1934
2207-2226
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Thong, Duong Viet
90fb35b2-3cdf-4a31-8afa-c989afaf176b
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Thong, Duong Viet
90fb35b2-3cdf-4a31-8afa-c989afaf176b

Vuong, Phan Tu and Thong, Duong Viet (2019) Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities. Optimization, 68 (11), 2207-2226. (doi:10.1080/02331934.2019.1616191).

Record type: Article

Abstract

We propose two modified Tseng's extragradient methods (also known as Forward–Backward–Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented

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Modified Tseng s extragradient methods for solving pseudo monotone variational inequalities
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Accepted/In Press date: 1 May 2019
e-pub ahead of print date: 21 May 2019
Published date: 2019

Identifiers

Local EPrints ID: 441560
URI: http://eprints.soton.ac.uk/id/eprint/441560
DOI: doi:10.1080/02331934.2019.1616191
ISSN: 0233-1934
PURE UUID: 2c1aa03f-0550-42ec-9335-eea71fd6b377
ORCID for Phan Tu Vuong: ORCID iD orcid.org/0000-0002-1474-994X

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Date deposited: 18 Jun 2020 16:30
Last modified: 17 Mar 2024 03:58

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Contributors

Author: Phan Tu Vuong ORCID iD
Author: Duong Viet Thong

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