Extragradient subgradient methods for solving bilevel equilibrium problems

被引：0
|
作者：
Tadchai Yuying
Bui Van Dinh
Do Sang Kim
Somyot Plubtieng
机构：
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] Le Quy Don Technical University,Faculty of Information Technology
[3] Pukyong National University,Department of Applied Mathematics
[4] Naresuan University,Center of Excellence in Nonlinear Analysis and Optimization, Faculty of Science
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Bilevel equilibrium problems; Extragradient Subgradient-Halpern methods; Armijo line search; Strong convergence; 47J25; 65K10; 65K15; 90C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm. Furthermore, the strong convergence of the sequence generated by the second algorithm is obtained without a Lipschitz-type condition.
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