Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems

被引：21

作者：

Han, Yu ^{[1
]}

Huang, Nan-Jing ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 179卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized vector quasi-equilibrium problem; Fan-KKM theorem; Connectedness; Path connectedness; SET-VALUED MAPS; VARIATIONAL INEQUALITY; OPTIMIZATION PROBLEMS; EFFICIENT SOLUTIONS; POINT SETS; SPACES; SYSTEMS;

D O I：

10.1007/s10957-016-1032-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we establish three existence theorems for strongly efficient solutions, weakly efficient solutions and efficient solutions of generalized vector quasi-equilibrium problems by using the Fan-KKM theorem and the scalarization method. Moreover, we investigate the connectedness of the sets of weakly efficient solutions and efficient solutions for generalized vector quasi-equilibrium problems and make a new attempt to establish the path connectedness of the set of weakly efficient solutions for generalized vector quasi-equilibrium problems.

引用

页码：65 / 85

页数：21

共 39 条

[21]

Han Y., 2016, SCI SIN MATH, V46, P1, DOI [10.1360/012016-12, DOI 10.1360/012016-12]

[22] Existence and stability of solutions for a class of generalized vector equilibrium problems [J].

Han, Yu ;

Huang, Nan-jing .

POSITIVITY, 2016, 20 (04) :829-846

[23] SOME CHARACTERIZATIONS OF THE APPROXIMATE SOLUTIONS TO GENERALIZED VECTOR EQUILIBRIUM PROBLEMS [J].

Han, Yu ;

Huang, Nan-Jing .

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (03) :1135-1151

[24] The connectedness of the solutions set for generalized vector equilibrium problems [J].

Han, Yu ;

Huang, Nan-jing .

OPTIMIZATION, 2016, 65 (02) :357-367

[25] IMAGES OF CONNECTED SETS BY SEMICONTINUOUS MULTIFUNCTIONS [J].

HIRIARTURRUTY, JB .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (02) :407-422

[26] On vector quasi-equilibrium problems with set-valued maps [J].

Hou, SH ;

Yu, H ;

Chen, GY .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 119 (03) :485-498

[27] Connectedness of cone superefficient point sets in locally convex topological vector spaces [J].

Hu, YD ;

Ling, C .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (02) :433-446

[28] On characterizations of proper efficiency for nonconvex multiobjective optimization [J].

Huang, XX ;

Yang, XQ .

JOURNAL OF GLOBAL OPTIMIZATION, 2002, 23 (3-4) :213-231

[29] Existence of solutions for generalized vector equilibrium problems [J].

Konnov, IV ;

Yao, JC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (01) :328-335

[30] Vector variational inequality as a tool for studying vector optimization problems [J].

Lee, GM ;

Kim, DS ;

Lee, BS ;

Yen, ND .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (05) :745-765

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