Iterative algorithms for solving variational inequalities and fixed point problems for asymptotically nonexpansive mappings in Banach spaces
Iterative algorithms for solving variational inequalities and fixed point problems for asymptotically nonexpansive mappings in Banach spaces
复制标题
求解 Banach 空间中渐近非扩张映射的变分不等式和不动点问题的迭代算法
DOI：
10.1007/s11075-016-0121-z
复制
发表时间：
2016
影响因子：
2.1
通讯作者：
Iyiola Olaniyi Samuel
中科院分区：
文献类型：
--
作者：
Cai Gang;Shehu Yekini;Iyiola Olaniyi Samuel
本文研究了在一致凸2-一致光滑Banach空间或一致凸q-一致光滑Banach空间中，求逆强增生映象变分不等式组解集与渐近非扩张映象不动点集的公共元的迭代算法.在适当的条件下，得到了强收敛定理。我们也给出了一些数值例子来支持我们的主要结果。本文所得结果改进和推广了许多人在文献中公布的最新结果。
The purpose of this paper is to study some iterative algorithms for finding a common element of the set of solutions of systems of variational inequalities for inverse-strongly accretive mappings and the set of fixed points of an asymptotically nonexpansive mapping in uniformly convex and 2-uniformly smooth Banach space or uniformly convex andq-uniformly smooth Banach space. Strong convergence theorems are obtained under suitable conditions. We also give some numerical examples to support our main results. The results obtained in this paper improve and extend the recent ones announced by many others in the literature.