Title: Iterative algorithms for solving nonlinear quasi-variational inequalities
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-21-00048; Volume 4 / Issue 1 / Year 2022, Pages 44-58
Document Type: Research Paper
aDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
bDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Received: 18 July 2021, Accepted: 7 September 2021, Published: 5 October 2021.
Corresponding Author: Muhammad Aslam Noor (Email address: firstname.lastname@example.org)
Full Text: PDF
In this paper, we consider the quasi-variational inequalities. It is shown that quasi-variational inequalities are equivalent to the implicit fixed point problems. Some new iterative methods for solving quasi-variational inequalities and related optimization problems are suggested by using projection methods, Wiener-Hopf equations and dynamical systems coupled with finite difference technique. Convergence analysis of these methods is investigated under monotonicity. Some special cases are discussed as applications of the main results.
Keywords: Variational inequalities, projection method, Wiener-Hopf equations, dynamical system, convergence, applicationsReferences:
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