帮助 关于我们

返回检索结果

Painleve-Kuratowski Convergences of the Solution Sets to Perturbed Generalized Systems

查看参考文献20篇

文摘 In this paper,we obtain the Painleve-Kuratowski Convergence of the efficient solution sets,the weak efficient solution sets and various proper efficient solution sets for the perturbed generalized system with a sequence of mappings converging in a real locally convex Hausdorff topological vector spaces.
来源 Acta Mathematicae Applicatae Sinica-English Series ,2012,28(2):361-370 【核心库】
DOI 10.1007/s10255-012-0149-3
关键词 Painlev-Kuratowski convergence ; Gamma-convergence ; continuous convergence ; perturbed generalized systems ; Scalarization
地址

College of Mathematics and Statistics, Chongqing University, Chongqing, 401301

语种 中文
文献类型 研究性论文
ISSN 0168-9673
学科 数学
基金 国家自然科学基金
文献收藏号 CSCD:4524612

参考文献 共 20 共1页

1.  Anh L Q. On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Journal of Optimization Theorey and Applications,2007,135:271-284 CSCD被引 13    
2.  Anh L Q. Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. Journal of Mathematical Analysis and Applications,2004,294:699-711 CSCD被引 15    
3.  Chen C R. On the solution continuity of parametric generalized systems. Pacific Journal of Optimization,2010,6:141-151 CSCD被引 18    
4.  Chen C R. Solution semicontinuity of parametric generalized vector equilibrium problems. Journal of Global Optimization,2009,45:309-318 CSCD被引 24    
5.  Chen G Y. Vector optimization: set-valued and variational analysis,2005 CSCD被引 27    
6.  Cheng Y H. Global stability results for the weak vector variational inequality. Journal of Global Optimization,2005,32:543-550 CSCD被引 20    
7.  Durea M. On the existence and stability of approximate solutions of perturbed vector equilibrium problems. Journal of Mathematical Analysis and Applications,2007,333:1165-1179 CSCD被引 3    
8.  Fang Z M. Painleve-Kuratowski Convergence for the solution sets of set-valued weak vector variational inequalities. Journal of Inequalities and Applications,2008,2008:Article ID 435719 CSCD被引 2    
9.  Giannessi F. Vector variational inequalities and vector equilibrium: mathematical theories,2000 CSCD被引 1    
10.  Gong X H. Connectedness of the solution sets and scalarization for vector equilibrium problems. Journal of Optimization Theorey and Applications,2007,133:151-161 CSCD被引 17    
11.  Gong X H. Continuity of the solution set to parametric weak vector equilibrium problems. Journal of Optimization Theorey and Applications,2008,139:35-46 CSCD被引 33    
12.  Gong X H. Efficiency and Henig efficiency for vector equilibrium problems. Journal of Optimization Theorey and Applications,2001,108:139-154 CSCD被引 16    
13.  Gong X H. Connectedness of the set of efficient solutions for generalized systems. Journal of Optimization Theorey and Applications,2008,138:189-196 CSCD被引 6    
14.  Gong X H. Lower semicontinuity of the set of the efficient solutions for generalized systems. Journal of Optimization Theorey and Applications,2008,138:197-205 CSCD被引 27    
15.  Huang N J. Stability for parametric implict vector equilibrium problems. Mathematical and Computer Modelling,2006,43:1267-1274 CSCD被引 17    
16.  Huang X X. Stability in vector-valued and set-valued optimization. Mathematical Methods of Operation Research,2000,52:185-195 CSCD被引 15    
17.  Lignola M B. Generalized variational inequalities with pseudomonotone operators under perturbations. Journal of Optimization Theory and Applications,1999,101:213-220 CSCD被引 4    
18.  Lucchetti R E. Stability for convex vector optimization problems. Optimization,2004,53:517-528 CSCD被引 10    
19.  Oppezzi P. A convergence for vector-valued functions. Optimization,2008,57:435-448 CSCD被引 6    
20.  Rockafellar R T. Variational analysis,1998 CSCD被引 96    
引证文献 4

1 Peng Zaiyun Painleve-Kuratowski Convergences of the Solution Sets for Perturbed Vector Equilibrium Problems without Monotonicity Acta Mathematicae Applicatae Sinica-English Series,2014,30(4):845-858
CSCD被引 4

2 Peng Zaiyun Painleve-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems Acta Mathematicae Applicatae Sinica-English Series,2018,34(2):304-317
CSCD被引 0 次

显示所有4篇文献

论文科学数据集
PlumX Metrics
相关文献

 作者相关
 关键词相关
 参考文献相关

版权所有 ©2008 中国科学院文献情报中心 制作维护:中国科学院文献情报中心
地址:北京中关村北四环西路33号 邮政编码:100190 联系电话:(010)82627496 E-mail:cscd@mail.las.ac.cn 京ICP备05002861号-4 | 京公网安备11010802043238号