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

Qing Nie; Vo Minh Tam; Boling Chen

doi:10.15672/hujms.1605434

Araştırma Makalesi

Yıl 2025, Erken Görünüm, 1 - 14

Qing Nie , Vo Minh Tam , Boling Chen

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

Öz

Kaynakça

[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

Yıl 2025, Erken Görünüm, 1 - 14

Qing Nie , Vo Minh Tam , Boling Chen

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Kısmi Diferansiyel Denklemler, Varyasyon Hesabı, Sistem Teorisinin Matematiksel Yönleri ve Kontrol Teorisi
Bölüm	Matematik
Yazarlar	Qing Nie 0009-0003-2410-9588 Vo Minh Tam 0000-0002-3959-5449 Boling Chen 0000-0002-1944-7975
Erken Görünüm Tarihi	11 Nisan 2025
Yayımlanma Tarihi
Gönderilme Tarihi	22 Aralık 2024
Kabul Tarihi	23 Şubat 2025
Yayımlandığı Sayı	Yıl 2025 Erken Görünüm

Kaynak Göster

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 01 Nisan 2025:1-14. doi:10.15672/hujms.1605434
Chicago	Nie, Qing, Vo Minh Tam, ve Boling Chen. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics, Nisan (Nisan 2025), 1-14. https://doi.org/10.15672/hujms.1605434.
EndNote	Nie Q, Tam VM, Chen B (01 Nisan 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, ve B. Chen, “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”, Hacettepe Journal of Mathematics and Statistics, ss. 1–14, Nisan 2025, doi: 10.15672/hujms.1605434.
ISNAD	Nie, Qing vd. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics. Nisan 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 vd. “Well-Posedness of A Class Generalized Split Quasi-Inverse Tensor Variational Inequalities”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 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.