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

作者：Li Qiu ying; Wang San hua^*

来源：Fixed Point Theory and Applications, 2011, 2011(1): 1-14.

DOI：10.1186/1687-1812-2011-62

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

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.

• 出版日期2011
• 单位南昌大学