Inertial forward-reflected-backward method for solving bilevel variational inequality problem
Year: 2025
Type: article
Abstract: We introduce an inertial forward-reflected-backward method for solving the bilevel variational inequality problem. Our method involves a single projection onto the feasible set and one functional evaluation, which makes it cost-effective and efficient. The inertial technique in our algorithm improves its speed of convergence, and hence our algorithm performs faster than methods without inertial effect. Under moderate conditions, we obtain strong convergence of our algorithm. Lastly, we highlight the superior performance of our algorithm in comparison with other algorithms in the literature through our numerical experiments.
Source: Results in Applied Mathematics
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,770
OpenAlex ID: W4416431379