A Modified Parallel Algorithm for a Common Fixed-Point Problem with Application to Signal Recovery-Reference-Cited by-同舟云学术

A Modified Parallel Algorithm for a Common Fixed-Point Problem with Application to Signal Recovery

Published:2023-07-24 Issue:7 Volume:15 Page:1464
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Khemphet Anchalee¹^ORCID,Suparatulatorn Raweerote¹^ORCID,Varnakovida Pariwate²³^ORCID,Charoensawan Phakdi¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand

2. KMUTT Geospatial Engineering and Innovation Center, Faculty of Science, King Mongkut’s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand

3. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand

Abstract

In this work, an algorithm is introduced for the problem of finding a common fixed point of a finite family of G-nonexpansive mappings in a real Hilbert space endowed with a directed graph G. This algorithm is a modified parallel algorithm inspired by the inertial method and the Mann iteration process. Moreover, both weak and strong convergence theorems are provided for the algorithm. Furthermore, an application of the algorithm to a signal recovery problem with multiple blurring filters is presented. Consequently, the numerical experiment shows better results compared with the previous algorithm.

Funder

Chiang Mai University, Faculty of Science, Chiang Mai University

King Mongkut’s University of Technology Thonburi

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/7/1464/pdf

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