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Journals / Hacettepe Journal of Mathematics and Statistics / 2025 / Volume: 54 Issue: 6

Well-posedness of a class generalized split quasi-inverse tensor variational inequalities

Qing Nie(Chongqing Jiaotong University)0009-0003-2410-9588
Vo Minh Tam(Dong Thap University)0000-0002-3959-5449
Boling Chen(Yulin Normal University)0000-0002-1944-7975
Pages
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Publication Date
2025-12-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

These findings emphasize the key properties of the GSQITVI and offer an analysis of the convergence of its solutions.

📌 3 Key Takeaways

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Objective & Hypothesis:This paper aims to study a generalized split quasi-inverse tensor variational inequality (GSQITVI) in tensor spaces.
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Key Findings & Data: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.
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Conclusion & Impact:These findings emphasize the key properties of the GSQITVI and offer an analysis of the convergence of its solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized split quasi-inverse tensor variational inequality · well-posedness · measure of non-compactness

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.

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Cite This Article

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 Statistics, Volume: 54 Issue: 6. https://doi.org/10.15672/hujms.1605434

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