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

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 seque...

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Detalles Bibliográficos
Autores principales: Lohawech, Panisa, Kaewcharoen, Anchalee, Farajzadeh, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6311189/
https://www.ncbi.nlm.nih.gov/pubmed/30839925
http://dx.doi.org/10.1186/s13660-018-1942-1
Descripción
Sumario: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.

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