Math. Model. Nat. Phenom.
Volume 16, 2021
|Number of page(s)||17|
|Published online||17 September 2021|
On well-posedness associated with a class of controlled variational inequalities
Department of Applied Mathematics, University Politehnica of Bucharest, 313 Splaiul Independenţei,
2 School of Advanced Sciences, VIT-AP University, Andhra Pradesh 522237, India.
* Corresponding author: firstname.lastname@example.org
Accepted: 31 August 2021
In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with the considered curvilinear integral functional, we investigate the well-posedness and well-posedness in generalized sense for a class of controlled variational inequality problems. More precisely, by introducing the approximating solution set of the considered class of controlled variational inequality problems, we formulate and prove some characterization results on well-posedness and well-posedness in generalized sense. Also, the theoretical developments presented in the paper are accompanied by illustrative examples.
Mathematics Subject Classification: 49K40 / 65K10
Key words: Well-posedness / well-posedness in generalized sense / controlled variational inequality / monotonicity / pseudomonotonicity / hemicontinuity / curvilinear integral functional
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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