EXISTENCE OF SOLUTIONS OF BILEVEL STRONG VECTOR EQUILIBRIUM PROBLEMS AND THEIR APPLICATIONS

被引：5

作者：

Capata, Adela ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 03期

关键词：

Strong vector equilibrium problem; Antimonotone operator; C-upper semicontinuity; Varia-tional inequality; Strong cone saddle point; FIXED-POINT; EKELANDS PRINCIPLE; ALGORITHM;

D O I：

10.23952/jnva.5.2021.3.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a bilevel strong vector equilibrium problem is introduced and investigated by using the Fan's lemma. Two approaches for finding the solutions of this problem are considered. The applications provide sufficient conditions for the existence of the solutions of a Pareto vector optimization over set constraints and the existence of strong vector saddle points for a generalized Nash two-person noncooperative games where the payoff function is vector-valued.

引用

页码：371 / 389

页数：19

共 50 条

[41] Proximal methods for a class of bilevel monotone equilibrium problems [J].

Abdellatif Moudafi .

Journal of Global Optimization, 2010, 47 :287-292

[42] Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems [J].

Liu, Qing-You ;

Long, Xian-Jun ;

Huang, Nan-jing .

MATHEMATICA SLOVACA, 2012, 62 (01) :123-136

[43] Proximal methods for a class of bilevel monotone equilibrium problems [J].

Moudafi, Abdellatif .

JOURNAL OF GLOBAL OPTIMIZATION, 2010, 47 (02) :287-292

[44] MANN-TYPE INERTIAL SUBGRADIENT EXTRAGRADIENT METHODS FOR BILEVEL EQUILIBRIUM PROBLEMS [J].

Ceng, Lu-Chuan ;

Zhu, Li -Jun ;

Yao, Zhangsong .

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (04) :19-32

[45] On Mixed Vector Equilibrium Problems [J].

Farajzadeh, A. P. ;

Mursaleen, M. ;

Shafie, A. .

AZERBAIJAN JOURNAL OF MATHEMATICS, 2016, 6 (02) :87-102

[46] ON THE STABILITY OF SOLUTIONS TO PARAMETRIC MULTIVALUED SYMMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEMS VIA THE GAP FUNCTIONS [J].

Hung, N. V. .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (11) :2605-2620

[47] STRONG CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS WITH PSEUDOCONTRACTIVE MAPPINGS [J].

Rezapour, Shahram ;

Yao, Yonghong ;

Zakeri, Seyyed Hasan .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (05) :1097-1108

[48] CONNECTEDNESS AND STABILITY OF THE APPROXIMATE SOLUTIONS TO GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS [J].

Han, Yu ;

Huang, Nan-Jing ;

Yao, Jen-Chin .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (06) :1079-1101

[49] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications [J].

Shenghua Wang ;

Giuseppe Marino ;

Yeong-Cheng Liou .

Journal of Global Optimization, 2012, 54 :155-171

[50] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications [J].

Wang, Shenghua ;

Marino, Giuseppe ;

Liou, Yeong-Cheng .

JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (01) :155-171

← 1 2 3 4 5 →