The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

Abstract The aim of this paper is to introduce a viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth spaces. Under some appropriate conditions on the parameters, we prove some strong convergence theorems. As applications, we apply our main result...

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Bibliographic Details
Main Authors: Ping Luo, Gang Cai, Yekini Shehu
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of Inequalities and Applications
Subjects:
strong convergence
nonexpansive mapping
implicit midpoint rule
uniformly smooth Banach space
Online Access:http://link.springer.com/article/10.1186/s13660-017-1426-8

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http://link.springer.com/article/10.1186/s13660-017-1426-8

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