Convergence analysis of a mann-like iterative algorithm in reflexive banach spaces

被引：0
|
作者：
Ceng, Lu-Chuan [1 ]
机构：
[1] Department of Mathematics, Shanghai Normal University, Shanghai,200234, China
来源：
Applied Set-Valued Analysis and Optimization | 2019年 / 1卷 / 01期
关键词：
Iterative methods;
D O I：
10.23952/asvao.1.2019.1.01
中图分类号：
学科分类号：
摘要：
We introduce and analyze viscosity Mann-like iterative algorithms for solving a general system of variational inequalities involving an infinite family of nonexpansive mappings and an m-accretive mapping. It is proved that the sequence generated in the Mann-like iterative algorithm is norm convergent in a real reflexive Banach space with the uniformly Gateaux differentiable norm and the normal structure. © 2019 Applied Set-Valued Analysis and Optimization.
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