An inertially constructed projection based hybrid algorithm for fixed point and split null point problems

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Arfat, Yasir; Kumam, Poom; Phiangsungnoen, Supak; Khan, Muhammad Aqeel Ahmad; Fukhar-Ud-din, Hafiz;

Publisher: AIMS Press

Publication year: 2023

Volume number: 8

Issue number: 3

Start page: 6590

End page: 6608

Number of pages: 19

ISSN: 2473-6988

eISSN: 2473-6988

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146126531&doi=10.3934%2fmath.2023333&partnerID=40&md5=25de410ff47531e8e20b557f6a4345fb

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

In this paper, we posit a framework for the investigation of the fixed point problems (FPP) involving an infinite family of k-demicontractive operators and the split common null point problems (SCNPP) in Hilbert spaces. We employ an accelerated variant of the hybrid shrinking projection algorithm for the construction of a common solution associated with the FPP and SCNPP. Theoretical results comprise strong convergence characteristics under suitable sets of constraints as well as numerical results are established for the underlying algorithm. Applications to signal processing as well as various abstract problems are also incorporated. © 2023 the Author(s), licensee AIMS Press.

Keywords

hybrid algorithm