Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities

Qing Nie; Vo Minh Tam; Boling Chen

doi:10.15672/hujms.1605434

Research Article

Year 2025, Early Access, 1 - 14

Qing Nie , Vo Minh Tam , Boling Chen

https://doi.org/10.15672/hujms.1605434

Abstract

References

[1] F. Anceschi, A. Barbagallo and S. G. Lo Bianco, Inverse tensor variational inequalities and applications, J. Optim. Theory Appl. 196, 570–589, 2023.

Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities

Year 2025, Early Access, 1 - 14

Qing Nie , Vo Minh Tam , Boling Chen

https://doi.org/10.15672/hujms.1605434

Abstract

This paper aims to study a generalized split quasi-inverse tensor variational inequality (GSQITVI) in tensor spaces. Building on the concept of well-posedness, we establish several metric-based features that provide necessary and sufficient conditions for the well-posedness of the GSQITVI. By utilizing the measure of non-compactness and the correlation theorem, we also derive results concerning the well-posedness of the problem. These findings emphasize the key properties of the GSQITVI and offer an analysis of the convergence of its solutions.

Keywords

Generalized split quasi-inverse tensor variational inequality, well-posedness, measure of non-compactness, convergence analysis

References

[1] F. Anceschi, A. Barbagallo and S. G. Lo Bianco, Inverse tensor variational inequalities and applications, J. Optim. Theory Appl. 196, 570–589, 2023.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Partial Differential Equations, Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory
Journal Section	Mathematics
Authors	Qing Nie 0009-0003-2410-9588 Vo Minh Tam 0000-0002-3959-5449 Boling Chen 0000-0002-1944-7975
Early Pub Date	April 11, 2025
Publication Date
Submission Date	December 22, 2024
Acceptance Date	February 23, 2025
Published in Issue	Year 2025 Early Access

Cite

APA	Nie, Q., Tam, V. M., & Chen, B. (2025). Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities. Hacettepe Journal of Mathematics and Statistics1-14. https://doi.org/10.15672/hujms.1605434
AMA	Nie Q, Tam VM, Chen B. Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities. Hacettepe Journal of Mathematics and Statistics. Published online April 1, 2025:1-14. doi:10.15672/hujms.1605434
Chicago	Nie, Qing, Vo Minh Tam, and Boling Chen. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics, April (April 2025), 1-14. https://doi.org/10.15672/hujms.1605434.
EndNote	Nie Q, Tam VM, Chen B (April 1, 2025) Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities. Hacettepe Journal of Mathematics and Statistics 1–14.
IEEE	Q. Nie, V. M. Tam, and B. Chen, “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”, Hacettepe Journal of Mathematics and Statistics, pp. 1–14, April 2025, doi: 10.15672/hujms.1605434.
ISNAD	Nie, Qing et al. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics. April 2025. 1-14. https://doi.org/10.15672/hujms.1605434.
JAMA	Nie Q, Tam VM, Chen B. Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities. Hacettepe Journal of Mathematics and Statistics. 2025;:1–14.
MLA	Nie, Qing et al. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics, 2025, pp. 1-14, doi:10.15672/hujms.1605434.
Vancouver	Nie Q, Tam VM, Chen B. Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities. Hacettepe Journal of Mathematics and Statistics. 2025:1-14.