An inertial accelerated outer quadratic approximation method for split feasibility problem with application to elastic net

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Taddele G.H.; Kumam P.; Sriwongsa S.; Yahaya M.M.

Publisher: Springer

Publication year: 2024

Journal acronym: Springer Nature

Volume number: 43

Issue number: 1

ISSN: 0101-8205

eISSN: 1807-0302

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85181746308&doi=10.1007%2fs40314-023-02559-5&partnerID=40&md5=4b96a505f707eee688bb8bb8c5768c1e

Languages: English-Great Britain (EN-GB)

View on publisher site

Abstract

In this paper, we introduce an inertial accelerated outer quadratic approximation method for solving the split feasibility problem in Hilbert spaces. The algorithm uses projections onto closed balls approximations of the original split feasibility problem involved sets. Since the projection onto the closed ball has a closed form, the proposed method is thus convenient to implement. Moreover, it uses a self-adaptive step-size which does not need any prior information of the operator norm. Under some suitable assumptions, we establish and prove a strong convergence theorem for the proposed algorithm. Finally, we provide several numerical experiments to demonstrate the performances of our proposed method. We also give the applications of our result to elastic nets. Our method generalizes and improves many results in the literature. ฉ 2024, The Author(s) under exclusive licence to Sociedade Brasileira de Matemแtica Aplicada e Computacional.

Keywords

self-adaptive technique, Split feasibility problem