Lohawech Panisa, Kaewcharoen Anchalee, Farajzadeh Ali
1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand.
2Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran.
J Inequal Appl. 2018;2018(1):358. doi: 10.1186/s13660-018-1942-1. Epub 2018 Dec 29.
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.
在本文中，我们通过结合纳杰日金娜和高桥的修正外梯度法与徐的算法建立了一种新的迭代算法。上述迭代算法给出了分裂变分不等式问题和不动点问题的公共解。我们证明了由我们的算法产生的序列是弱收敛的。最后，我们给出了主要结果的一些应用。本文扩展了该领域以前的结果。
