Correction to: Convergence analysis of an inertial method for a system of general quasi-variational inequalities under mild conditions

Abstract

This note concerns the paper by S. Jabeen, S. Macías, J. E. Macías-Díaz and S. Ullah, Convergence analysis of an inertial method for a system of general quasi-variational inequalities under mild conditions, Acta Comment. Univ. Tartu. Math. 29 (2025), no. 2, 243-258. We note that the fixed-point reformulation used in that paper does not follow from the stated assumptions, and give a simple two-dimensional example. We also record a separate diffculty in the proof of the convergence theorem: the assumptions on the operators T₁ and T₂ concern only the first variable, whereas the proof uses estimates in which both variables vary. A one-dimensional example shows that the convergence statement, as stated, is not valid even when the constraint set is the whole real line and the auxiliary mapping is the identity.