Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications

被引：0
作者：
Yongchun Xu
Jinyu Guan
Yanxia Tang
Yongfu Su
机构：
[1] Hebei North University,Department of Mathematics
[2] Tianjin Polytechnic University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Uniformly convex; Uniformly smooth; Banach space; Systems of nonexpansive operator equations; Solution; Iterative algorithms;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove some existence theorems for solutions of a certain system of multivariate nonexpansive operator equations and calculate the solutions by using the generalized Mann and Halpern iterative algorithms in uniformly convex and uniformly smooth Banach spaces. The results of this paper improve and extend the previously known ones in the literature.
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