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

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.