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Published in 2017 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-016-9349-7
Abstract: This paper deals with the numerical analysis of the problem of parabolic quasi-variational inequalities related to impulse control problems. An optimal Lā-convergence of a piecewise linear finite element method is established using the concept of… read more here.
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Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01616-6
Abstract: In this paper, we introduce an inertial projection-type method with different updating strategies for solving quasi-variational inequalities with strongly monotone and Lipschitz continuous operators in real Hilbert spaces. Under standard assumptions, we establish different strong… read more here.
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Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-018-0489-0
Abstract: Evolutionary quasi-variational inequality (QVI) problems of dissipative and non-dissipative nature with pointwise constraints on the gradient are studied. A semi-discretization in time is employed for the study of the problems and the derivation of a… read more here.
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Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.04.008
Abstract: We prove the existence of weak solution for a system of quasi-variational inequalities related to a switching problem with dynamic driven by operator associated with a semi-Dirichlet form and with measure data. We give a… read more here.
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Published in 2017 at "Optimization"
DOI: 10.1080/02331934.2016.1253085
Abstract: Abstract In this paper, we aim to suggest the new concept of well-posedness for the general parametric quasi-variational inclusion problems (QVIP). The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated… read more here.
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Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1652910
Abstract: ABSTRACT In this article, we introduce a new type of generalized mixed ordered quasi-variational inclusion problem in the setting of real ordered Hilbert spaces. Further, we propose a perturbed three-step iterative algorithm for solving generalized… read more here.
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Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aad525
Abstract: In this article we propose a new formulation of the equations of the humid atmosphere with a multi-phase saturation generalizing thus the model studied in Temam and Wu (2015 J. Funct. Anal. 269 2187ā221) and… read more here.
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Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02424-7
Abstract: 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… read more here.
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Published in 2023 at "Filomat"
DOI: 10.2298/fil2302627k
Abstract: In this study, generalized multivalued vector inverse quasi-variational inequality problems are developed, and error bounds are obtained in terms of the residual gap function, the regularized gap function, and the D-gap function. With the help… read more here.
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Published in 2021 at "Symmetry"
DOI: 10.3390/sym13101882
Abstract: The main purpose of this paper is threefold. One is to study the existence and convergence problem of solutions for a class of generalized mixed quasi-variational hemivariational inequalities. The second one is to study the… read more here.