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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-021-00638-6
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we present four modified inertial projection and contraction methods to solve the variational inequality problem with a pseudo-monotone and non-Lipschitz continuous operator in real Hilbert spaces. Strong convergence theorems of the proposed algorithms are established without the prior knowledge of the Lipschitz constant of the operator. Several numerical experiments and the applications to optimal control problems are provided to verify the advantages and efficiency of the proposed algorithms.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: Feb 1, 2022
Keywords: Variational inequality; Projection and contraction method; Subgradient extragradient method; Inertial method; Pseudomonotone mapping; Uniformly continuous; 47J20; 47J25; 47J30; 68W10; 65K15