On iterative methods for bilevel equilibrium problems

We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2021-09, Vol.2021 (1), p.1-18, Article 160
Main Authors: Jaipranop, Chanitnan, Saejung, Satit
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Bilevel equilibrium problems
Equilibrium
Equilibrium methods
Extragradient algorithm with line search technique
Game theory
Halpern sequence
Halpern–Korpelevič algorithm
Hilbert space
Iterative methods
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02698-5