Painlevé-Kuratowski Convergences of the Solution Sets for Perturbed Vector Equilibrium Problems without Monotonicity  

作　　者：Zai-yun PENG Xin-min YANG 

机构地区：[1]College of Science,Chongqing JiaoTong University [2]Department of Mathematics,Chongqing Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第4期845-858,共14页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11301571.11271389.11271391);the Natural Science Foundation Project of ChongQing(No.CSTC,2012jjA00016.2011BA0030);the Education Committee Research Foundation of ChongQing(KJ130428)

摘　　要：In this paper, we obtain some stability results for perturbed vector equilibrium problems. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the Painlev^-Kuratowski Convergence of the weak efficient solution sets and efficient solution sets for the perturbed vector equilibrium problems with a sequence of mappings converging in real linear metric spaces. These results extend and improve some known results in the literature.In this paper, we obtain some stability results for perturbed vector equilibrium problems. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the Painlev^-Kuratowski Convergence of the weak efficient solution sets and efficient solution sets for the perturbed vector equilibrium problems with a sequence of mappings converging in real linear metric spaces. These results extend and improve some known results in the literature.

关 键 词：stability Painlev6-Kuratowski convergence efficient solution perturbed vector equilibrium prob-lem SCALARIZATION 

分 类 号：O183.1[理学—数学]