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

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

Abstract 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 imp...

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Bibliographic Details
Main Authors: Yongchun Xu, Jinyu Guan, Yanxia Tang, Yongfu Su
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of Inequalities and Applications
Subjects:
Uniformly convex
Uniformly smooth
Banach space
Systems of nonexpansive operator equations
Solution
Iterative algorithms
Online Access:http://link.springer.com/article/10.1186/s13660-018-1629-7

Internet

http://link.springer.com/article/10.1186/s13660-018-1629-7

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