Some Results on Strongly Pseudomonotone Quasi-Variational Inequalities

In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We provide sufficient conditions for existence and uniqueness of solutions of strongly pseudomonotone quasi-variational inequalities. We present some error bounds in terms of residual and regularized gap function...

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Bibliographic Details
Published inSet-valued and variational analysis Vol. 28; no. 2; pp. 239 - 257
Main Authors Nguyen, Luong V., Qin, Xiaolong
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2020
Springer Nature B.V
Subjects
Analysis
Dynamic stability
Error analysis
Estimates
Inequalities
Mathematics
Mathematics and Statistics
Optimization
Projection method
Strong pseudomonotonicity
49M30
47J20
49J40
Error bounds
Dynamical systems
Quasi-variational inequalities
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Summary:In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We provide sufficient conditions for existence and uniqueness of solutions of strongly pseudomonotone quasi-variational inequalities. We present some error bounds in terms of residual and regularized gap functions. The global exponential stability of equilibrium solutions of a projected dynamical system for strongly pseudomonotone quasi-variational inequalities is investigated. Strong convergence and error estimates for sequence generated by the (modified) gradient projection method with suitable choices of stepsizes are also studied. Some examples and numerical experiments are provided to support our main results.
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-019-00508-1