Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

Abstract In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the split variational inequality problems and fixed point problems. We show that...

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Bibliographic Details
Main Authors: Panisa Lohawech, Anchalee Kaewcharoen, Ali Farajzadeh
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Inequalities and Applications
Subjects:
Variational inequality problems
Extragradient methods
CQ algorithms
Online Access:http://link.springer.com/article/10.1186/s13660-018-1942-1
Description
Summary:Abstract In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the split variational inequality problems and fixed point problems. We show that the sequence produced by our algorithm is weakly convergent. Finally, we give some applications of the main results. This article extends the previous results in this area.
ISSN:1029-242X

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