Well-Posedness of Generalized Vector Quasivariational Inequality Problems

Abstract EN

We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints.

Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given.

The results in this paper unify, generalize, and extend some known results in the literature.