Full Text: PDF
DOI: 10.23952/jnfa.2022.9
Received October 23, 2021; Accepted March 4, 2022; Published March 25, 2022
Abstract In this paper, we introduce a hybrid inertial parallel subgradient extragradient-line algorithm for approximating a common solution of variational inequality problems with monotone and L-Lipschitz continuous mappings, where L is unknown. Under some suitable conditions, we prove the strong convergence of the algorithm. We also present some numerical examples to demonstrate the performance of our algorithm, which is better than the algorithms mentioned in the literature. The novelty of our algorithm is that the algorithm is resilient and efficient the number of subproblems is large. Our algorithm can be applied to image recovery problems when an image has common types of blur effects.
How to Cite this Article:
P. Peeyada, W. Cholamjiak, D. Yambangwai, A hybrid inertial parallel subgradient extragradient-line algorithm for variational inequalities with an application to image recovery, J. Nonlinear Funct. Anal. 2022 (2022) 9.