Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems

We propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compare...

Full description

Saved in:
Bibliographic Details
Main Authors: Li Wei, Wenwen Yue, Yingzi Shang, Ravi P. Agarwal
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6682858
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compared to the previous corresponding studies. We give some numerical examples to illustrate the effectiveness of the main iterative scheme and present an example of curvature systems to emphasize the importance of the study of d-accretive mappings.
ISSN:2314-4629
2314-4785