Well-posedness Of Vector Quasi-equilibrium Problems Research Articles

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

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.

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

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.

Well-Posedness for vector quasi-equilibrium problems with applications

In this paper, we introduce the concept of well-posedness for the vector quasi-equilibrium problem. We obtain some necessary and sufficient conditions for well-posedness of vector quasi-equilibrium problems. As applications, we investigate the well-posedness for vector quasi-variational inequality problems and vector quasi-optimization problems.