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Note on an inertial projection-based approach for solving extended general quasi-variational inequalities and its convergence analysis.

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Titel: Note on an inertial projection-based approach for solving extended general quasi-variational inequalities and its convergence analysis.
Autoren: Jabeen, Saudia1 (AUTHOR) saudiajbeen@gmail.com, Macías, Siegfried2 (AUTHOR) sigfrido.macias@edu.uaa.mx, Ullah, Saleem1 (AUTHOR) saleemullah@mail.au.edu.pk, Noor, Muhammad Aslam3 (AUTHOR) noormaslam@gmail.com, Macías-Díaz, Jorge E.1,2,4 (AUTHOR) jemacias@correo.uaa.mx
Quelle: Applied Numerical Mathematics. Nov2025, Vol. 217, p190-198. 9p.
Schlagwörter: *VARIATIONAL inequalities (Mathematics), *ITERATIVE methods (Mathematics), *MATHEMATICAL models, *APPROXIMATION algorithms, *MATHEMATICAL analysis
Abstract: In this work, an inertial projection-based method is proposed to find approximate solutions to a new class of quasi-variational inequalities. The approach utilizes projection techniques to develop an iterative scheme, and its convergence properties are rigorously examined under appropriate conditions. Various specific cases are derived from the general framework, highlighting the adaptability of the proposed method. The comparative performance of this approach with existing techniques remains an open area for exploration. It is expected that the theoretical framework and techniques proposed in this study will stimulate further research in this domain. [ABSTRACT FROM AUTHOR]
Datenbank: Academic Search Index
Beschreibung
Abstract:In this work, an inertial projection-based method is proposed to find approximate solutions to a new class of quasi-variational inequalities. The approach utilizes projection techniques to develop an iterative scheme, and its convergence properties are rigorously examined under appropriate conditions. Various specific cases are derived from the general framework, highlighting the adaptability of the proposed method. The comparative performance of this approach with existing techniques remains an open area for exploration. It is expected that the theoretical framework and techniques proposed in this study will stimulate further research in this domain. [ABSTRACT FROM AUTHOR]
ISSN:01689274
DOI:10.1016/j.apnum.2025.06.012