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

บทความในวารสาร

ผู้เขียน/บรรณาธิการ

กลุ่มสาขาการวิจัยเชิงกลยุทธ์

รายละเอียดสำหรับงานพิมพ์

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

ผู้เผยแพร่: Springer

ปีที่เผยแพร่ (ค.ศ.): 2024

ชื่อย่อของวารสาร: Springer Nature

Volume number: 43

Issue number: 1

นอก: 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

ภาษา: English-Great Britain (EN-GB)

ดูบนเว็บไซต์ของสำนักพิมพ์

บทคัดย่อ

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.

คำสำคัญ

self-adaptive technique, Split feasibility problem