An existence result for strongly pseudomonotone quasi-variational inequalities

By applying the Brouwer fixed point theorem, we prove an existence result of solutions for strongly pseudomonotone quasi-variational inequalities which extends an analogous result in Kocvara and Outrata (Optim Methods Softw 5:275–295, 1995). The result is based on a new result concerning continuity...

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Bibliographic Details
Published in:Ricerche di matematica 2023-11, Vol.72 (2), p.803-813
Main Author: Van Nguyen, Luong
Format: Article
Language:English
Subjects:
Algebra
Analysis
Existence theorems
Fixed points (mathematics)
Geometry
Inequalities
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
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Summary:By applying the Brouwer fixed point theorem, we prove an existence result of solutions for strongly pseudomonotone quasi-variational inequalities which extends an analogous result in Kocvara and Outrata (Optim Methods Softw 5:275–295, 1995). The result is based on a new result concerning continuity property of solutions to a parametric variational inequality. Examples are given to illustrate our results.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-021-00588-y