Keten Copur, AysegulHacioglu, EmirhanGursoy, FaikErturk, Muzeyyen2024-06-122024-06-1220210885-74741573-7691https://doi.org/10.1007/s10915-021-01657-yhttps://hdl.handle.net/20.500.14551/23492In this article, we design a projection type iterative algorithm with two inertial steps for solving quasi-variational inequalities with Lipschitz continuous and strongly monotone mappings in real Hilbert spaces. We establish different strong convergence results through this algorithm. We give a non-trivial example to validate one of our results and to illustrate the efficiency of the proposed algorithm compared with an already existing one. We also present some numerical experiments to demonstrate the potential applicability and computing performance of our algorithm compared with some other algorithms existing in the literature. The results obtained herein are generalizations and substantial improvements of some earlier results.en10.1007/s10915-021-01657-yinfo:eu-repo/semantics/closedAccessQuasi-Variational InequalitiesInertial Projection-Type MethodStrong MonotonicityLipschitz ContinuousHilbert SpacesConvergenceArticle892Q1WOS:0007075947000022-s2.0-85117347786Q1