Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we exte...

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Bibliographic Details
Main Authors: Chanjuan Pan, Yuanheng Wang
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
Banach spaces
viscosity splitting method
inertial method
accretive operators
Online Access:https://www.mdpi.com/2227-7390/7/2/156
Description
Summary:In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method.
ISSN:2227-7390

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