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

Fixexd point theory and applications

Qiu-ying Li¹  San-hua Wang³ 

[1] College of Science and Technology, Nanchang University, Nanchang, People'Department of Mathematics, Nanchang University, Nanchang, People's Republic of China

关键词: parametric strong vector quasi-equilibrium problem;    well-posedness;    approximating sequence;    upper semicontinuity;    lower semicontinuity;   

DOI  :  10.1186/1687-1812-2011-62

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY