Abstract:
The continuous gradient projection method and the continuous gradient-type method in a space with a variable metric are studied for the numerical solution of quasi-variational inequalities, and conditions for the convergence of the methods proposed are established.
This publication is cited in the following 4 articles:
N. Mijajlović, M. Jaćimović, “Three-Step Approximation Methods from Continuous and Discrete Perspective for Quasi-Variational Inequalities”, Comput. Math. and Math. Phys., 64:4 (2024), 605
Nevena Mijajlović, Milojica Jaćimović, “Strong convergence theorems by an extragradient-like approximation methods for quasi-variational inequalities”, Optim Lett, 17:4 (2023), 901
Yu. A. Chernyaev, “Numerical algorithm for solving a class of optimization problems with a constraint in the form of a subset of points of a smooth surface”, Comput. Math. Math. Phys., 62:12 (2022), 2033–2040
Yu. A. Chernyaev, “Gradient projection method for a class of optimization problems with a constraint in the form of a subset of points of a smooth surface”, Comput. Math. Math. Phys., 61:3 (2021), 368–375