We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.
"Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems." J. Appl. Math. 2015 (SI5) 1 - 10, 2015. https://doi.org/10.1155/2015/108357