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

Year 2025, Volume: 54 Issue: 6 , 2168 - 2181 , 30.12.2025

Qing Nie , Vo Minh Tam , Boling Chen

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

https://izlik.org/JA75PZ39KW

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

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