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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Veröffentlicht in:Applicable analysis Jg. 100; H. 5; S. 1067 - 1078
1. Verfasser: Yang, Jun
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 04.04.2021
Taylor & Francis Ltd
Schlagworte:
Adaptive algorithms
Algorithms
convex set
Hilbert space
Inequalities
Mapping
projection
pseudomonotone mapping
subgradient extragradient method
Variational inequalities
ISSN:0003-6811, 1563-504X
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Abstract 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.
AbstractList 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.
Author Yang, Jun
Author_xml – sequence: 1
  givenname: Jun
  surname: Yang
  fullname: Yang, Jun
  email: xysyyangjun@163.com
  organization: School of Mathematics and Statistics, Xidian University
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SubjectTerms Adaptive algorithms
Algorithms
convex set
Hilbert space
Inequalities
Mapping
projection
pseudomonotone mapping
subgradient extragradient method
Variational inequalities
Title Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities
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