Painlevé-Kuratowski convergences of the solution sets for perturbed vector equilibrium problems without monotonicity

被引：0
作者：
Zai-yun Peng
Xin-min Yang
机构：
[1] Chongqing JiaoTong University,College of Science
[2] Chongqing Normal University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷
关键词：
stability; Painlevé-Kuratowski convergence; efficient solution; perturbed vector equilibrium problem; scalarization; 90C33; 49K40; 34D10;
D O I：
暂无
中图分类号：
学科分类号：
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 Painlevé-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.
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页码：845 / 858
页数：13
相关论文
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  • [1] Anh LQ(2007)On the stability of the solution sets of general multivalued vector quasiequilibrium problems Journal of Optimization Theorey and Applications 135 271-284
  • [2] Khanh PQ(2009)Solution semicontinuity of parametric generalized vector equilibrium problems Joural of Global Optimization 45 309-318
  • [3] Chen CR(2010)On the solution continuity of parametric generalized systems Pacific Journal of Optimization 6 141-151
  • [4] Li SJ(2005)Global stability results for the weak vector variational inequality Joural of Global Optimization 32 543-550
  • [5] Teo KL(2007)On the existence and stability of approximate solutions of perturbed vector equilibrium problems Journal of Mathematical Analysis and Applications 333 1165-1179
  • [6] Chen CR(2012)Painlevé-Kuratowski Convergence of the solution sets to perturbed generalized systems Acta Mathematicae Applicatae Sinica, English Series 2 361-370
  • [7] Li SJ(2001)Efficiency and Henig efficiency for vector equilibrium problems Journal of Optimization Theorey and Applications 108 139-154
  • [8] Cheng YH(2007)Connectedness of the solution sets and scalarization for vector equilibrium problems Journal of Optimization Theorey and Applications 133 151-161
  • [9] Zhu DL(2008)Lower semicontinuity of the set of efficient solutions for generalized systems Journal of Optimization Theorey and Applications 138 197-205
  • [10] Durea M(2008)Continuity of the solution set to parametric weak vector equilibrium problems Journal of Optimization Theorey and Applications 139 35-46
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