More on the order of Arag\'on Artacho–Campoy Algorithm Operators with the Help of Douglas–Rachford Operators

Authors

  • Salihah Alwadani Yanbu Industrial College

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5503

Keywords:

Maximally monotone operator, Arag\'on Artacho–Campoy operators, Affine subspace, Douglas-Rachford splitting operator, projection operator, resolvent, reflected resolvent .

Abstract

The Arag\'on Artacho–Campoy algorithm (AACA) is a new method for finding zeros of sums of monotone
operators. In this paper we complete the analysis of their algorithm by defining their operator
using Douglas Rachford operator and then study the effects of the order of the two possible
Arag\'on Artacho–Campoy operators.

Downloads

Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Salihah Alwadani

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

More on the order of Arag\’on Artacho–Campoy Algorithm Operators with the Help of Douglas–Rachford Operators. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5503. https://doi.org/10.29020/nybg.ejpam.v18i1.5503