离散扰动下向量均衡问题的稳定性  

Stability for Vector Equilibrium Problems Under Discrete Dilations

作　　者：宋军[1] 徐强平[1] 徐刚[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《应用泛函分析学报》2014年第2期154-159,共6页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(61175127);江西省自然科学基金(2009GZS0022)

摘　　要：利用集合序列P-K收敛的概念,讨论了离散扰动下的向量均衡问题弱有效解的稳定性.提出了一个新的向量均衡问题的极小化序列的概念.给出了各种充分条件以确保集合的包含关系,并举例阐述相应的结论.By using the concept of P-K convergence of sequences of subsets, we investigate stability of weak efficient solutions for vector equilibrium problems under discrete dilation. A new concept of approximating sequence for vector equilibrium problem is given out. Various sufficient conditions are provided to ensure the inclusion of the set of solution, and a number of examples are used to illustrate the corresponding results.

关 键 词：向量均衡 弱有效解 P—K收敛 稳定性 

分 类 号：O241.83[理学—计算数学]