LEVITIN-POLYAK WELL-POSEDNESS FOR VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH FUNCTIONAL CONSTRAINTS

Abstract

In this paper, four types of Levitin-Polyak well-posedness of vector quasi-equilibrium problems with a functional constraint, as well as an abstract set constraint are investigated. Some criteria and characterizations for these types of Levitin-Polyak well-posedness with or without gap functions of vector quasi-equilibrium problems are obtained. The results in this paper generalize and extend some known results in the literature.