Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

In this paper, we introduce an inertial algorithm for solving classical variational inequalities with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The algorithm is inspired by subgradient extragradient method and the inertial method with a new step size. The convergence of...

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Bibliographic Details
Published in:Applicable analysis Vol. 100; no. 5; pp. 1067 - 1078
Main Author: Yang, Jun
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 04.04.2021
Taylor & Francis Ltd
Subjects:
Adaptive algorithms
Algorithms
convex set
Hilbert space
Inequalities
Mapping
projection
pseudomonotone mapping
subgradient extragradient method
Variational inequalities
ISSN:0003-6811, 1563-504X
Online Access:Get full text
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Summary:In this paper, we introduce an inertial algorithm for solving classical variational inequalities with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The algorithm is inspired by subgradient extragradient method and the inertial method with a new step size. The convergence of algorithm is established without the knowledge of the Lipschitz constant of the mapping. Finally, some numerical experiments are presented to show the efficiency and advantage of the proposed algorithm.
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2019.1634257