Skip to content
Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 14 (2024)

Adv. Fixed Point Theory 14 (2024), Article ID 17

Approximating zeros of monotone operators in Banach spaces

Rajendra Pant, Prashant Patel

PDF (581.2 KB) https://doi.org/10.28919/afpt/8474

Abstract

In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum of two monotone operators. Our algorithm demonstrates strong convergence in a Banach space. Additionally, we provide a few examples of the practical implications of our findings. Finally, we discuss numerical examples and demonstrate the convergence behavior of the proposed algorithm.

Published
6 May 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Rajendra Pant, Prashant Patel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. Pant, P. Patel, Approximating zeros of monotone operators in Banach spaces, Adv. Fixed Point Theory 14 (2024), 17. https://doi.org/10.28919/afpt/8474

BibTeX
@article{Pant2024,
  author  = {Pant, Rajendra and Patel, Prashant},
  title   = {Approximating zeros of monotone operators in Banach spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {17},
  doi     = {10.28919/afpt/8474}
}