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Self adaptive inertial extragradient algorithms for solving variational inequality problems
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- In this paper, we study the strong convergence of two Mann-type inertial extragradient algorithms, which are devised with a new step size, for solving a variational inequality problem with a monotone and Lipschitz continuous operator in real Hilbert spaces. Strong convergence theorems for our algorithms are proved without the prior knowledge of the Lipschitz constant of the operator. Finally, we provide some numerical experiments to illustrate the performances of the proposed algorithms and provide a comparison with related ones.<br />Comment: 19 pages, 6 figures
- Subjects :
- Inertial frame of reference
Computer science
0211 other engineering and technologies
02 engineering and technology
01 natural sciences
symbols.namesake
Operator (computer programming)
Convergence (routing)
FOS: Mathematics
0101 mathematics
Mathematics - Optimization and Control
021103 operations research
Applied Mathematics
Hilbert space
Lipschitz continuity
Functional Analysis (math.FA)
Mathematics - Functional Analysis
010101 applied mathematics
Computational Mathematics
Monotone polygon
Optimization and Control (math.OC)
Variational inequality
symbols
Constant (mathematics)
Algorithm
47H05, 49J40, 65K10, 47J20
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....45303027a047ee30513e5adde5bc190d
- Full Text :
- https://doi.org/10.48550/arxiv.2006.04287