The Generalized Implicit Iterative Process for Approximating Fixed Points of Nonexpansive Mappings in CAT(0) Spaces

The Generalized Implicit Iterative Process for Approximating Fixed Points of Nonexpansive Mappings in CAT(0) Spaces

The aim of this paper is to investigate implicit viscosity iterative algorithm for nonexpansive mappings in the framework of CAT(0) spaces. We prove strong convergence theorems of such algorithm under some suitable assumptions on the sequences of parameters involved therein. We also proved that the...

Full description

Saved in:
Bibliographic Details
Main Authors: Xingchao Bian, Sundus Shahzeen, Mujahid Abbas, M. Saeed Ahmad, Binli Zhang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Viscosity iterative algorithm
CAT(0) space
nonexpansive mapping
variational inequality
Online Access:https://ieeexplore.ieee.org/document/8945216/
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The aim of this paper is to investigate implicit viscosity iterative algorithm for nonexpansive mappings in the framework of CAT(0) spaces. We prove strong convergence theorems of such algorithm under some suitable assumptions on the sequences of parameters involved therein. We also proved that the presented algorithm is faster than a number of existing iteration processes in literature. Our results extend and improve some recent results of Ahmad et al.[J. Appl. Math. Informatics 35 (5-6)(2017), 423-438] and others.
ISSN:2169-3536

Similar Items