Gap functions for quasi-variational inequalities via duality [PDF]
Journal of Inequalities and Applications, 2018 This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
L Altangerel
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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 new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms [PDF]
Journal of Inequalities and Applications, 2018 The Schwarz algorithm for a class of elliptic quasi-variational inequalities with nonlinear source terms is studied in this work. The authors prove a new error estimate in uniform norm, making use of a stability property of the discrete solution.
Allaoua Mehri, Samira Saadi
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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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Generalized vector quasi-variational-like inequalities [PDF]
Journal of Inequalities and Applications, 2006 Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.
Peng Jian-Wen, Yang Xin-Min
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Results in Control and Optimization, 2022 In this paper, we consider a class of set-valued implicit quasi-variational inequalities in real Banach spaces and show its equivalence with a class of fixed point equations and a class of Wiener–Hopf equations.
Mudasir A. Malik +2 more
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On three-step iterative schemes associated with general quasi-variational inclusions
Alexandria Engineering Journal, 2022 In this paper, we investigate new classes of general quasi-variational inclusions. In this regard, we prove that general quasi-variational inclusions and fixed point problems are equivalent.
Muhammad Aslam Noor +3 more
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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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Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities
Journal of Inequalities and Applications, 2016 In this paper, a new class of inverse mixed quasi-variational inequalities (IMQVI) is introduced and studied in Hilbert spaces. This type of inequalities includes many quasi-variational inequalities and inverse variational inequalities as its special ...
Xi Li, Yun-zhi Zou
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On the weak convergence for solving semistrictly quasi-monotone variational inequality problems
Journal of Inequalities and Applications, 2019 In this paper, we study the approximation problem of solutions for the semistrictly quasi-monotone variational inequalities in infinite-dimensional Hilbert spaces.
S. S. Chang, Salahuddin, L. Wang, M. Liu
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