Hadamard well‐posedness of a general mixed variational inequality in Banach space

In this paper, we first introduce the concept of Hadamard well‐posedness of a general mixed variational inequality in Banach space. Under some suitable conditions, relations between Levitin–Polyak well‐posedness and Hadamard well‐posedness of a general mixed variational inequality are studied. We also establish some characterizations of Hadamard well‐posedness for a genaral mixed variational inequality. Finally, we derive some conditions under which a general mixed variational inequality is Hadamard well‐posed.