Lower semicontinuity to parametric lexicographic vector equilibrium problems
-
摘要: 首先介绍由字典锥所构造的参数向量平衡问题. 进而, 基于稠密性结果, 通过构造一个辅助问题的方法得到了参数字典序意义下向量平衡问题解集映射的下半连续性.Abstract: In this paper, a parametric vector equilibrium problem in a lexicographic order was first introduced. Then, by using an auxiliary problem, the lower semicontinuity of the solution set map was established based on the density of the solution set mapping for a parametric lexicographic vector equilibrium problem.
-
[1] {1}ANH L Q, KHANH P Q. Semicontinuity of the solution set of parametricmultivalued vector quasiequalibrium problems[J]. Journal ofMathematical Analysis and Applications, 2004, 294: 699-711.{2}CHEN C R, LI S J. On the solution continuity of parametricgeneralized systems[J]. Pacific Journal of Optimization, 2010, 6:141-151.{3}CHEN C R, LI S J, TEO K L. Solution semicontinuity of parametricgeneralized vector equilibrium problems[J]. Journal of GlobalOptimization, 2009, 45: 309-318.{4}ANH L Q, KHANH P Q. Continuity of solution maps of parametricquasiequilibrium problems[J]. Journal of Global Optimization, 2010,46: 247-259.{5}BIANCHI M, KONNOV I V, PINI R. Lexicographic and sequentialequilibrium problems[J]. Journal of Global Optimization, 2010, 46:551-560.{6}BIANCHI M, KONNOV I V, PINI R. Lexicographic variationalinequalities with applications[J]. Optimization, 2006, 56: 355-367.{7}ANH L Q, KHANH P Q. Semicontinuity of solution sets to parametricquasivariational inclusions with applications to traffic networks I:uper semicontinuities[J]. Set-Valued Analysis, 2008, 16: 267-279.{8}LI S J, FANG Z M. Lower semicontinuity of the solution mappings to aparametric generalized Ky Fan inequality[J]. Journal of OptimizationTheory and Applications, 2010, 147: 507-515.{9}GONG X H, YAO J C. Lower semicontinuity of the set of efficientsolutions for generalized systems[J]. Journal of Optimization Theoryand Applications, 2008, 138: 197-205.{10}AUBIN J P, EKELAND I. Applied Nonlinear Analysis[M]. New York:Wiley, 1984.{11}FERRO F. A minimax theorem for vector-valued functions[J]. Journalof Optimization Theory and Applications, 1989, 60: 19-31.
点击查看大图
计量
- 文章访问数: 1716
- HTML全文浏览量: 11
- PDF下载量: 2371
- 被引次数: 0