Lower Semicontinuity of Approximate Solution Mappings for a Parametric Generalized Strong Vector Equilibrium Problem

被引：1

作者：

Wang, Qilin ^{[1
]}

He, Liu ^{[1
]}

Li, Xiaobing ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

FILOMAT | 2019年 / 33卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Parametric generalized strong vector equilibrium problems; Approximate solution mappings; Lower semicontinuity; SENSITIVITY-ANALYSIS; SOLUTION SETS; EFFICIENT SOLUTIONS; CONTINUITY; STABILITY; EXISTENCE; THEOREMS;

D O I：

10.2298/FIL1906641W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using a property of convex mappings, one establishes the lower semicontinuity of the approximate solution mapping to a parametric generalized strong vector equilibrium problem without these assumptions about monotonicity and compactness. Our proof approach is different from the ones in the literature.

引用

页码：1641 / 1648

页数：8

共 50 条

[1] On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
Xu, Y. D.
Li, S. J.
[J]. POSITIVITY, 2013, 17 (02) : 341 - 353
[2] On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
Y. D. Xu
S. J. Li
[J]. Positivity, 2013, 17 : 341 - 353
[3] Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
Wangkeeree, Rabian
Boonman, Panatda
Preechasilp, Pakkapon
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[4] Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
Rabian Wangkeeree
Panatda Boonman
Pakkapon Preechasilp
[J]. Journal of Inequalities and Applications, 2014
[5] Semicontinuity of solution mappings of parametric generalized strong vector equilibrium problems
Kimura, Kenji
Yao, Jen-Chih
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2008, 4 (01) : 167 - 181
[6] Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems
Wang, Qilin
Li, Xiaobing
Zeng, Jing
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2678 - 2688
[7] LOWER SEMICONTINUITY OF THE SOLUTION MAPPING TO A PARAMETRIC GENERALIZED VECTOR EQUILIBRIUM PROBLEM
Wang, Qilin
Li, Shengji
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2014, 10 (04) : 1225 - 1234
[8] SEMICONTINUITY OF APPROXIMATE SOLUTION MAPPINGS TO GENERALIZED VECTOR EQUILIBRIUM PROBLEMS
Wang, Qilin
Li, Shengji
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (04) : 1303 - 1309
[9] Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
Kimura, K.
Yao, J. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 138 (03) : 429 - 443
[10] Semicontinuity of Solution Mappings to Parametric Generalized Vector Equilibrium Problems
Han, Yu
Gong, Xunhua
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2016, 37 (11) : 1420 - 1437

← 1 2 3 4 5 →