On Gap Functions for Quasi-Variational Inequalities [PDF]
Abstract and Applied Analysis, 2008 For variational inequalities, various merit functions, such as the gap function, the regularized gap function, the D-gap function and so on, have been proposed.
Kouichi Taji
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A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 Accepted ...
Azevedo A. +10 more
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A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
PLoS ONEIn this paper, we focus on a second-order dynamical system designed to solve inverse quasi-variational inequalities (IQVIs) in Hilbert spaces, focusing on strongly monotone operators under Lipschitz continuity assumptions.
Ting Gan +3 more
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Fixed Point Theory and Applications, 2006 We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasi ...
M. I. Bhat, K. R. Kazmi
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Levitin-Polyak well-posedness of inverse quasi-variational inequality with perturbations [PDF]
Maejo International Journal of Science and Technology, 2014 Levitin-Polyak -well-posedness for inverse quasi -variational inequality is investigated. We establish some metric characterisations of Levitin-Polyak -wellposedness for inverse quasi -variational inequality problems having a unique ...
Garima Virmani, Manjari Srivastava
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A Unified Inertial Iterative Approach for General Quasi Variational Inequality with Application
Fractal and Fractional, 2022 In this paper, we design two inertial iterative methods involving one and two inertial steps for investigating a general quasi-variational inequality in a real Hilbert space.
Mohammad Akram, Mohammad Dilshad
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Existence of a solution of the quasi-variational inequality with semicontinuous operator [PDF]
Yugoslav Journal of Operations Research, 2006 The paper considers quasi-variational inequalities with point to set operator. The existence of a solution, in the case when the operator of the quasi-variational inequality is semi-continuous and the feasible set is convex and compact, is proved.
Jovanov Đurica S.
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Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification [PDF]
, 2021 This paper analyses the following question: let $\mathbf{A}_j$, $j=1,2,$ be the Galerkin matrices corresponding to finite-element discretisations of the exterior Dirichlet problem for the heterogeneous Helmholtz equations $\nabla\cdot (A_j \nabla u_j ...
Graham, Ivan G. +2 more
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Error bounds for mixed set-valued vector inverse quasi-variational inequalities
Journal of Inequalities and Applications, 2020 The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the residual gap function, the regularized gap ...
Shih-sen Chang +4 more
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A new semismooth Newton method for solving finite-dimensional quasi-variational inequalities
Journal of Inequalities and Applications, 2021 In this paper, we consider the numerical method for solving finite-dimensional quasi-variational inequalities with both equality and inequality constraints. Firstly, we present a semismooth equation reformulation to the KKT system of a finite-dimensional
Shui-Lian Xie, Zhe Sun, Hong-Ru Xu
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