Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints

Journal of inequalities and applications

Rabian Wangkeeree¹ 

关键词: lexicographic vector equilibrium problems;    optimization problems;    lexicographic equilibrium constraints;    well-posedness;   

DOI  :  10.1186/s13660-015-0669-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider the well-posedness for lexicographic vector equilibrium problems and optimization problems with lexicographic equilibrium constraints in metric spaces. Sufficient conditions for a family of such problems to be (uniquely) well-posed at the reference point are established. Numerous examples are provided to explain that all the assumptions we impose are very relaxed and cannot be dropped.

【 授权许可】

CC BY