Well-posedness for vector quasi-equilibrium problems with applications (Q2379781)

The aim of this paper is to investigate the well-posedness for vector quasi-equilibrium problems. Because of various notions of well-posedness for minimization problems the authors introduce the concept of well-posedness for the vector quasi-equilibrium problems. They obtain some necessary and sufficient conditions for the introduced type of well-posedness in Banach spaces. As applications of their results the authors investigate vector quasi-variational inequality problems and vector quasi-optimization problems.