Well-posedness for parametric strong vector quasi-equilibrium problems with applications

Abstract

Abstract In this article, we generalize the concept of well-posedness to the parametric strong vector quasi-equilibrium problem. Under some suitable conditions, we establish some characterizations of well-posedness for parametric strong vector quasi-equilibrium problems. The corresponding concept of well-posedness in the generalized sense is also investigated for the parametric strong vector quasi-equilibrium problem. As applications, we investigate the well-posedness for strong vector quasi-variational inequality problems and strong vector quasi-optimization problems. 2000 Mathematics subject classification: 49K40; 90C31.

Keywords

• parametric strong vector quasi-equilibrium problem
• well-posedness
• approximating sequence
• upper semicontinuity; lower semicontinuity