A new extragradient algorithm for split equilibrium problems and fixed point problems

In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems. The strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the p...

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Bibliographic Details
Published in:Journal of inequalities and applications 2019-05, Vol.2019 (1), p.1-18, Article 137
Main Authors: Petrot, Narin, Rabbani, Mohsen, Khonchaliew, Manatchanok, Dadashi, Vahid
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Applications of Mathematics
Extragradient method
Fixed points (mathematics)
Hilbert space
Mathematics
Mathematics and Statistics
Operation support systems
Pseudomonotonicity
Split equilibrium problem
Systems integration
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Summary:In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems. The strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the problem of finding a solution of split variational inequality problems and split fixed point problems and a numerical example and computational results are also provided.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2086-7