This study delves into the concept of Levitin-Polyak well-posedness in the context of a generalized vector variational-type inequality problem with parameters (\eta, g, \varphi). Our primary objective is to establish a comprehensive set of conditions that can be employed to rigorously assess the attributes of Levitin-Polyak well-posedness, both in its standard form and as a generalized concept. To enhance the clarity and applicability of these conditions, we provide an instructive example that elucidates the underlying assumptions and demonstrates the practical implications of our research. Through this work, we contribute to the understanding and practical implementation of well-posedness in variational inequality problems.


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 Yimmuang, Panu, Srichok, Patcharapa