PAINLEVE-KURATOWSKI CONVERGENCES OF THE SOLUTION SETS FOR PERTURBED GENERALIZED SYSTEMS

被引：0

作者：

Zhao, Yong ^{[1
]}

Peng, Zai Yun ^{[2
]}

Yang, Xin Min ^{[3
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R China

[3] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 06期

关键词：

Painleve-Kuratowski convergence; weak efficient solution sets; global efficient solution sets; perturbed generalized systems; VECTOR EQUILIBRIUM PROBLEMS; FAN INEQUALITY PROBLEMS; VARIATIONAL INEQUALITY; EFFICIENT SOLUTIONS; STABILITY; SEMICONTINUITY; CONTINUITY; CONNECTEDNESS; TRIFUNCTIONS; OPTIMIZATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under new assumptions, which are weaker than the assumption of C-strictly monotone mapping, we obtain the Painleve-Kuratowski convergence of the weak efficient solution sets and global efficient solution sets for the perturbed generalized system with a sequence of mappings converging in a real locally convex Hausdorff topological vector space. These results extend and improve the recent ones in the literature [10]. Several examples are given for the illustration of our results.

引用

页码：1249 / 1259

页数：11

共 50 条

[1] Painleve-Kuratowski Convergences of the Solution Sets to Perturbed Generalized Systems
Fang, Zhi-miao
Li, Sheng-jie
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (02): : 361 - 370
[2] Painleve-Kuratowski convergences of the approximate solution sets for vector quasiequilibrium problems
Nguyen Van Hung
Dinh Huy Hoang
Vo Minh Tam
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (01) : 115 - 122
[3] Painlev-Kuratowski Convergences of the Solution Sets to Perturbed Generalized Systems
Zhi-miao FANG
[J]. Acta Mathematicae Applicatae Sinica, 2012, 28 (02) : 361 - 370
[4] Painlevé-Kuratowski Convergences of the solution sets to perturbed generalized systems
Zhi-miao Fang
Sheng-jie Li
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2012, 28 : 361 - 370
[5] Painleve-Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness
Han, Yu
[J]. OPTIMIZATION, 2022, 71 (07) : 2185 - 2208
[6] Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities
Fang, Z. M.
Li, S. J.
Teo, K. L.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[7] Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities
Z. M. Fang
S. J. Li
K. L. Teo
[J]. Journal of Inequalities and Applications, 2008
[8] Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure
Bantaojai, Thanatporn
Wangkeeree, Rabian
[J]. THAI JOURNAL OF MATHEMATICS, 2018, 16 : 396 - 416
[9] Painlev,-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems
Peng, Zai-yun
Zhao, Yong
Yang, Xin-min
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 34 (02): : 304 - 317
[10] Painlevé-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems
Zai-yun PENG
Yong ZHAO
Xin-min YANG
[J]. Acta Mathematicae Applicatae Sinica, 2018, 34 (02) : 304 - 317

← 1 2 3 4 5 →