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

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