A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities

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Main Authors: Supansa, Noinakorn, Nopparat, Wairojjana, Nuttapol, Pakkaranang
Format: Book
Language:English
Published: 2023
Subjects:
Online Access:https://link.springer.com/article/10.1007/s40065-022-00400-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7438
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spelling oai:localhost:PNK-74382023-04-03T07:34:21Z A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities Supansa, Noinakorn Nopparat, Wairojjana Nuttapol, Pakkaranang pseudomonotone Lipschitz continuous operators CC BY In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of a real Hilbert space. The proposed iterative scheme is basically analogous to the extragradient method used to solve the problems of variational inequalities in real Hilbert spaces. The strong convergence of the proposed algorithm is set up with the prior knowledge of Lipschitz’s constant of an operator. Finally, several computational experiments are listed to show the applicability and efficiency of the proposed algorithm. 2023-04-03T07:34:21Z 2023-04-03T07:34:21Z 2022 Book https://link.springer.com/article/10.1007/s40065-022-00400-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7438 en application/pdf
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic pseudomonotone
Lipschitz continuous operators
spellingShingle pseudomonotone
Lipschitz continuous operators
Supansa, Noinakorn
Nopparat, Wairojjana
Nuttapol, Pakkaranang
A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
description CC BY
format Book
author Supansa, Noinakorn
Nopparat, Wairojjana
Nuttapol, Pakkaranang
author_facet Supansa, Noinakorn
Nopparat, Wairojjana
Nuttapol, Pakkaranang
author_sort Supansa, Noinakorn
title A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
title_short A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
title_full A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
title_fullStr A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
title_full_unstemmed A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
title_sort novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
publishDate 2023
url https://link.springer.com/article/10.1007/s40065-022-00400-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7438
_version_ 1762184303829057536
score 8.88091